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Finding the Fourth Proportional to 529.76, 793.80 and 458.48

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Solution

The fourth proportional to 529.76, 793.80 and 458.48 is: 686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 793.80 = 458.48 : x
  2. Step 2: Convert to fraction form
    529.76/793.80 = 458.48/x
  3. Step 3: Cross multiply
    529.76x = 793.80 × 458.48
  4. Step 4: Simplify right side
    529.76x = 363,941.42
  5. Step 5: Solve for x
    x = 363,941.42/529.76
  6. Step 6: Final answer
    x = 686.99

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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.