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Finding the Fourth Proportional to 510, 761.34 and 432.44

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Solution

The fourth proportional to 510, 761.34 and 432.44 is: 645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 761.34 = 432.44 : x
  2. Step 2: Convert to fraction form
    510/761.34 = 432.44/x
  3. Step 3: Cross multiply
    510x = 761.34 × 432.44
  4. Step 4: Simplify right side
    510x = 329,233.87
  5. Step 5: Solve for x
    x = 329,233.87/510
  6. Step 6: Final answer
    x = 645.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.