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Finding the Fourth Proportional to 527.68, 728.91 and 458.65

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Solution

The fourth proportional to 527.68, 728.91 and 458.65 is: 633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.68 : 728.91 = 458.65 : x
  2. Step 2: Convert to fraction form
    527.68/728.91 = 458.65/x
  3. Step 3: Cross multiply
    527.68x = 728.91 × 458.65
  4. Step 4: Simplify right side
    527.68x = 334,314.57
  5. Step 5: Solve for x
    x = 334,314.57/527.68
  6. Step 6: Final answer
    x = 633.56

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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.