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Finding the Fourth Proportional to 588.05, 877.85 and 547.04

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Solution

The fourth proportional to 588.05, 877.85 and 547.04 is: 816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.05 : 877.85 = 547.04 : x
  2. Step 2: Convert to fraction form
    588.05/877.85 = 547.04/x
  3. Step 3: Cross multiply
    588.05x = 877.85 × 547.04
  4. Step 4: Simplify right side
    588.05x = 480,211.94
  5. Step 5: Solve for x
    x = 480,211.94/588.05
  6. Step 6: Final answer
    x = 816.62

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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.