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Finding the Fourth Proportional to 500.81, 750.67 and 409.91

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Solution

The fourth proportional to 500.81, 750.67 and 409.91 is: 614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.81 : 750.67 = 409.91 : x
  2. Step 2: Convert to fraction form
    500.81/750.67 = 409.91/x
  3. Step 3: Cross multiply
    500.81x = 750.67 × 409.91
  4. Step 4: Simplify right side
    500.81x = 307,702.36
  5. Step 5: Solve for x
    x = 307,702.36/500.81
  6. Step 6: Final answer
    x = 614.42

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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.