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Finding the Fourth Proportional to 965.47, 1,448.19 and 235.02

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Solution

The fourth proportional to 965.47, 1,448.19 and 235.02 is: 352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.47 : 1,448.19 = 235.02 : x
  2. Step 2: Convert to fraction form
    965.47/1,448.19 = 235.02/x
  3. Step 3: Cross multiply
    965.47x = 1,448.19 × 235.02
  4. Step 4: Simplify right side
    965.47x = 340,353.61
  5. Step 5: Solve for x
    x = 340,353.61/965.47
  6. Step 6: Final answer
    x = 352.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.