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Finding the Fourth Proportional to 453.92, 681.12 and 417.20

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Solution

The fourth proportional to 453.92, 681.12 and 417.20 is: 626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.92 : 681.12 = 417.20 : x
  2. Step 2: Convert to fraction form
    453.92/681.12 = 417.20/x
  3. Step 3: Cross multiply
    453.92x = 681.12 × 417.20
  4. Step 4: Simplify right side
    453.92x = 284,163.26
  5. Step 5: Solve for x
    x = 284,163.26/453.92
  6. Step 6: Final answer
    x = 626.02

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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.