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Finding the Fourth Proportional to 473.92, 653.20 and 408.16

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Solution

The fourth proportional to 473.92, 653.20 and 408.16 is: 562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.92 : 653.20 = 408.16 : x
  2. Step 2: Convert to fraction form
    473.92/653.20 = 408.16/x
  3. Step 3: Cross multiply
    473.92x = 653.20 × 408.16
  4. Step 4: Simplify right side
    473.92x = 266,610.11
  5. Step 5: Solve for x
    x = 266,610.11/473.92
  6. Step 6: Final answer
    x = 562.56

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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.