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Finding the Fourth Proportional to 588.19, 801.58 and 586.03

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Solution

The fourth proportional to 588.19, 801.58 and 586.03 is: 798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.19 : 801.58 = 586.03 : x
  2. Step 2: Convert to fraction form
    588.19/801.58 = 586.03/x
  3. Step 3: Cross multiply
    588.19x = 801.58 × 586.03
  4. Step 4: Simplify right side
    588.19x = 469,749.93
  5. Step 5: Solve for x
    x = 469,749.93/588.19
  6. Step 6: Final answer
    x = 798.64

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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.