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Finding the Fourth Proportional to 456.70, 628.92 and 407.02

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Solution

The fourth proportional to 456.70, 628.92 and 407.02 is: 560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.70 : 628.92 = 407.02 : x
  2. Step 2: Convert to fraction form
    456.70/628.92 = 407.02/x
  3. Step 3: Cross multiply
    456.70x = 628.92 × 407.02
  4. Step 4: Simplify right side
    456.70x = 255,983.02
  5. Step 5: Solve for x
    x = 255,983.02/456.70
  6. Step 6: Final answer
    x = 560.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.