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Finding the Fourth Proportional to 507.71, 761.69 and 496.18

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Solution

The fourth proportional to 507.71, 761.69 and 496.18 is: 744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.71 : 761.69 = 496.18 : x
  2. Step 2: Convert to fraction form
    507.71/761.69 = 496.18/x
  3. Step 3: Cross multiply
    507.71x = 761.69 × 496.18
  4. Step 4: Simplify right side
    507.71x = 377,932.55
  5. Step 5: Solve for x
    x = 377,932.55/507.71
  6. Step 6: Final answer
    x = 744.39

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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.