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Finding the Fourth Proportional to 474.28, 706.56 and 456.86

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Solution

The fourth proportional to 474.28, 706.56 and 456.86 is: 680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.28 : 706.56 = 456.86 : x
  2. Step 2: Convert to fraction form
    474.28/706.56 = 456.86/x
  3. Step 3: Cross multiply
    474.28x = 706.56 × 456.86
  4. Step 4: Simplify right side
    474.28x = 322,799.00
  5. Step 5: Solve for x
    x = 322,799.00/474.28
  6. Step 6: Final answer
    x = 680.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.