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Finding the Fourth Proportional to 651.40, 976.40 and 456.46

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Solution

The fourth proportional to 651.40, 976.40 and 456.46 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 976.40 = 456.46 : x
  2. Step 2: Convert to fraction form
    651.40/976.40 = 456.46/x
  3. Step 3: Cross multiply
    651.40x = 976.40 × 456.46
  4. Step 4: Simplify right side
    651.40x = 445,687.54
  5. Step 5: Solve for x
    x = 445,687.54/651.40
  6. Step 6: Final answer
    x = 684.20

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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.