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Finding the Fourth Proportional to 476.16, 657.92 and 407.04

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Solution

The fourth proportional to 476.16, 657.92 and 407.04 is: 562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 657.92 = 407.04 : x
  2. Step 2: Convert to fraction form
    476.16/657.92 = 407.04/x
  3. Step 3: Cross multiply
    476.16x = 657.92 × 407.04
  4. Step 4: Simplify right side
    476.16x = 267,799.76
  5. Step 5: Solve for x
    x = 267,799.76/476.16
  6. Step 6: Final answer
    x = 562.42

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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.