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Finding the Fourth Proportional to 610.11, 913.73 and 472.01

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Solution

The fourth proportional to 610.11, 913.73 and 472.01 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.11 : 913.73 = 472.01 : x
  2. Step 2: Convert to fraction form
    610.11/913.73 = 472.01/x
  3. Step 3: Cross multiply
    610.11x = 913.73 × 472.01
  4. Step 4: Simplify right side
    610.11x = 431,282.77
  5. Step 5: Solve for x
    x = 431,282.77/610.11
  6. Step 6: Final answer
    x = 706.89

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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.