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Finding the Fourth Proportional to 522.47, 784.52 and 499.39

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Solution

The fourth proportional to 522.47, 784.52 and 499.39 is: 749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.47 : 784.52 = 499.39 : x
  2. Step 2: Convert to fraction form
    522.47/784.52 = 499.39/x
  3. Step 3: Cross multiply
    522.47x = 784.52 × 499.39
  4. Step 4: Simplify right side
    522.47x = 391,781.44
  5. Step 5: Solve for x
    x = 391,781.44/522.47
  6. Step 6: Final answer
    x = 749.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.