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Finding the Fourth Proportional to 520.74, 782.64 and 434.61

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Solution

The fourth proportional to 520.74, 782.64 and 434.61 is: 653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.74 : 782.64 = 434.61 : x
  2. Step 2: Convert to fraction form
    520.74/782.64 = 434.61/x
  3. Step 3: Cross multiply
    520.74x = 782.64 × 434.61
  4. Step 4: Simplify right side
    520.74x = 340,143.17
  5. Step 5: Solve for x
    x = 340,143.17/520.74
  6. Step 6: Final answer
    x = 653.19

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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.