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Finding the Fourth Proportional to 588.59, 877.48 and 542.35

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Solution

The fourth proportional to 588.59, 877.48 and 542.35 is: 808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.59 : 877.48 = 542.35 : x
  2. Step 2: Convert to fraction form
    588.59/877.48 = 542.35/x
  3. Step 3: Cross multiply
    588.59x = 877.48 × 542.35
  4. Step 4: Simplify right side
    588.59x = 475,901.02
  5. Step 5: Solve for x
    x = 475,901.02/588.59
  6. Step 6: Final answer
    x = 808.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.