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Finding the Fourth Proportional to 500.71, 750.41 and 346.39

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Solution

The fourth proportional to 500.71, 750.41 and 346.39 is: 519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.71 : 750.41 = 346.39 : x
  2. Step 2: Convert to fraction form
    500.71/750.41 = 346.39/x
  3. Step 3: Cross multiply
    500.71x = 750.41 × 346.39
  4. Step 4: Simplify right side
    500.71x = 259,934.52
  5. Step 5: Solve for x
    x = 259,934.52/500.71
  6. Step 6: Final answer
    x = 519.13

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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.