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Finding the Fourth Proportional to 965.52, 1,448.28 and 235.09

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Solution

The fourth proportional to 965.52, 1,448.28 and 235.09 is: 352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.52 : 1,448.28 = 235.09 : x
  2. Step 2: Convert to fraction form
    965.52/1,448.28 = 235.09/x
  3. Step 3: Cross multiply
    965.52x = 1,448.28 × 235.09
  4. Step 4: Simplify right side
    965.52x = 340,477.96
  5. Step 5: Solve for x
    x = 340,477.96/965.52
  6. Step 6: Final answer
    x = 352.64

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Half scale
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Double scale
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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.