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Finding the Fourth Proportional to 515.39, 772.76 and 429.23

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Solution

The fourth proportional to 515.39, 772.76 and 429.23 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.39 : 772.76 = 429.23 : x
  2. Step 2: Convert to fraction form
    515.39/772.76 = 429.23/x
  3. Step 3: Cross multiply
    515.39x = 772.76 × 429.23
  4. Step 4: Simplify right side
    515.39x = 331,694.78
  5. Step 5: Solve for x
    x = 331,694.78/515.39
  6. Step 6: Final answer
    x = 643.59

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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.