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Finding the Fourth Proportional to 588.56, 812.86 and 552.38

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Solution

The fourth proportional to 588.56, 812.86 and 552.38 is: 762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.56 : 812.86 = 552.38 : x
  2. Step 2: Convert to fraction form
    588.56/812.86 = 552.38/x
  3. Step 3: Cross multiply
    588.56x = 812.86 × 552.38
  4. Step 4: Simplify right side
    588.56x = 449,007.61
  5. Step 5: Solve for x
    x = 449,007.61/588.56
  6. Step 6: Final answer
    x = 762.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.