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Finding the Fourth Proportional to 610.72, 914.94 and 564.88

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Solution

The fourth proportional to 610.72, 914.94 and 564.88 is: 846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.72 : 914.94 = 564.88 : x
  2. Step 2: Convert to fraction form
    610.72/914.94 = 564.88/x
  3. Step 3: Cross multiply
    610.72x = 914.94 × 564.88
  4. Step 4: Simplify right side
    610.72x = 516,831.31
  5. Step 5: Solve for x
    x = 516,831.31/610.72
  6. Step 6: Final answer
    x = 846.27

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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.