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Finding the Fourth Proportional to 588.28, 808 and 552.14

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Solution

The fourth proportional to 588.28, 808 and 552.14 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 808 = 552.14 : x
  2. Step 2: Convert to fraction form
    588.28/808 = 552.14/x
  3. Step 3: Cross multiply
    588.28x = 808 × 552.14
  4. Step 4: Simplify right side
    588.28x = 446,129.12
  5. Step 5: Solve for x
    x = 446,129.12/588.28
  6. Step 6: Final answer
    x = 758.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.