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Finding the Fourth Proportional to 588.40, 886 and 524

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Solution

The fourth proportional to 588.40, 886 and 524 is: 789.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.40 : 886 = 524 : x
  2. Step 2: Convert to fraction form
    588.40/886 = 524/x
  3. Step 3: Cross multiply
    588.40x = 886 × 524
  4. Step 4: Simplify right side
    588.40x = 464,264
  5. Step 5: Solve for x
    x = 464,264/588.40
  6. Step 6: Final answer
    x = 789.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.