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Finding the Fourth Proportional to 527.47, 727.92 and 317.73

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Solution

The fourth proportional to 527.47, 727.92 and 317.73 is: 438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.47 : 727.92 = 317.73 : x
  2. Step 2: Convert to fraction form
    527.47/727.92 = 317.73/x
  3. Step 3: Cross multiply
    527.47x = 727.92 × 317.73
  4. Step 4: Simplify right side
    527.47x = 231,282.02
  5. Step 5: Solve for x
    x = 231,282.02/527.47
  6. Step 6: Final answer
    x = 438.47

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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.