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Finding the Fourth Proportional to 527.60, 727.08 and 458.48

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Solution

The fourth proportional to 527.60, 727.08 and 458.48 is: 631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.60 : 727.08 = 458.48 : x
  2. Step 2: Convert to fraction form
    527.60/727.08 = 458.48/x
  3. Step 3: Cross multiply
    527.60x = 727.08 × 458.48
  4. Step 4: Simplify right side
    527.60x = 333,351.64
  5. Step 5: Solve for x
    x = 333,351.64/527.60
  6. Step 6: Final answer
    x = 631.83

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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.