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Finding the Fourth Proportional to 610.97, 914.32 and 500.00

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Solution

The fourth proportional to 610.97, 914.32 and 500.00 is: 748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.97 : 914.32 = 500.00 : x
  2. Step 2: Convert to fraction form
    610.97/914.32 = 500.00/x
  3. Step 3: Cross multiply
    610.97x = 914.32 × 500.00
  4. Step 4: Simplify right side
    610.97x = 457,156.46
  5. Step 5: Solve for x
    x = 457,156.46/610.97
  6. Step 6: Final answer
    x = 748.25

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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.