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Finding the Fourth Proportional to 473.72, 652.12 and 410.68

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Solution

The fourth proportional to 473.72, 652.12 and 410.68 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.72 : 652.12 = 410.68 : x
  2. Step 2: Convert to fraction form
    473.72/652.12 = 410.68/x
  3. Step 3: Cross multiply
    473.72x = 652.12 × 410.68
  4. Step 4: Simplify right side
    473.72x = 267,812.64
  5. Step 5: Solve for x
    x = 267,812.64/473.72
  6. Step 6: Final answer
    x = 565.34

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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.