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Finding the Fourth Proportional to 610.24, 913.74 and 477.13

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Solution

The fourth proportional to 610.24, 913.74 and 477.13 is: 714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.24 : 913.74 = 477.13 : x
  2. Step 2: Convert to fraction form
    610.24/913.74 = 477.13/x
  3. Step 3: Cross multiply
    610.24x = 913.74 × 477.13
  4. Step 4: Simplify right side
    610.24x = 435,972.77
  5. Step 5: Solve for x
    x = 435,972.77/610.24
  6. Step 6: Final answer
    x = 714.43

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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.