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Finding the Fourth Proportional to 588.07, 811.17 and 388.90

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Solution

The fourth proportional to 588.07, 811.17 and 388.90 is: 536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.07 : 811.17 = 388.90 : x
  2. Step 2: Convert to fraction form
    588.07/811.17 = 388.90/x
  3. Step 3: Cross multiply
    588.07x = 811.17 × 388.90
  4. Step 4: Simplify right side
    588.07x = 315,459.96
  5. Step 5: Solve for x
    x = 315,459.96/588.07
  6. Step 6: Final answer
    x = 536.44

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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.