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Finding the Fourth Proportional to 473.59, 710.69 and 257.32

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Solution

The fourth proportional to 473.59, 710.69 and 257.32 is: 386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.59 : 710.69 = 257.32 : x
  2. Step 2: Convert to fraction form
    473.59/710.69 = 257.32/x
  3. Step 3: Cross multiply
    473.59x = 710.69 × 257.32
  4. Step 4: Simplify right side
    473.59x = 182,874.75
  5. Step 5: Solve for x
    x = 182,874.75/473.59
  6. Step 6: Final answer
    x = 386.15

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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.