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Finding the Fourth Proportional to 522.24, 781.53 and 434.76

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Solution

The fourth proportional to 522.24, 781.53 and 434.76 is: 650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 781.53 = 434.76 : x
  2. Step 2: Convert to fraction form
    522.24/781.53 = 434.76/x
  3. Step 3: Cross multiply
    522.24x = 781.53 × 434.76
  4. Step 4: Simplify right side
    522.24x = 339,777.98
  5. Step 5: Solve for x
    x = 339,777.98/522.24
  6. Step 6: Final answer
    x = 650.62

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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.