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Finding the Fourth Proportional to 473.42, 709.32 and 382.16

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Solution

The fourth proportional to 473.42, 709.32 and 382.16 is: 572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.42 : 709.32 = 382.16 : x
  2. Step 2: Convert to fraction form
    473.42/709.32 = 382.16/x
  3. Step 3: Cross multiply
    473.42x = 709.32 × 382.16
  4. Step 4: Simplify right side
    473.42x = 271,073.73
  5. Step 5: Solve for x
    x = 271,073.73/473.42
  6. Step 6: Final answer
    x = 572.59

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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.