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Finding the Fourth Proportional to 526.52, 792.92 and 458.86

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Solution

The fourth proportional to 526.52, 792.92 and 458.86 is: 691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.52 : 792.92 = 458.86 : x
  2. Step 2: Convert to fraction form
    526.52/792.92 = 458.86/x
  3. Step 3: Cross multiply
    526.52x = 792.92 × 458.86
  4. Step 4: Simplify right side
    526.52x = 363,839.27
  5. Step 5: Solve for x
    x = 363,839.27/526.52
  6. Step 6: Final answer
    x = 691.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.