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Finding the Fourth Proportional to 473.97, 711.24 and 257.58

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Solution

The fourth proportional to 473.97, 711.24 and 257.58 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.97 : 711.24 = 257.58 : x
  2. Step 2: Convert to fraction form
    473.97/711.24 = 257.58/x
  3. Step 3: Cross multiply
    473.97x = 711.24 × 257.58
  4. Step 4: Simplify right side
    473.97x = 183,201.20
  5. Step 5: Solve for x
    x = 183,201.20/473.97
  6. Step 6: Final answer
    x = 386.52

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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.