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Finding the Fourth Proportional to 610.07, 914.49 and 564.30

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Solution

The fourth proportional to 610.07, 914.49 and 564.30 is: 845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.07 : 914.49 = 564.30 : x
  2. Step 2: Convert to fraction form
    610.07/914.49 = 564.30/x
  3. Step 3: Cross multiply
    610.07x = 914.49 × 564.30
  4. Step 4: Simplify right side
    610.07x = 516,046.71
  5. Step 5: Solve for x
    x = 516,046.71/610.07
  6. Step 6: Final answer
    x = 845.89

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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.