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Finding the Fourth Proportional to 588.32, 801.75 and 586.16

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Solution

The fourth proportional to 588.32, 801.75 and 586.16 is: 798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.32 : 801.75 = 586.16 : x
  2. Step 2: Convert to fraction form
    588.32/801.75 = 586.16/x
  3. Step 3: Cross multiply
    588.32x = 801.75 × 586.16
  4. Step 4: Simplify right side
    588.32x = 469,949.77
  5. Step 5: Solve for x
    x = 469,949.77/588.32
  6. Step 6: Final answer
    x = 798.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.