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Finding the Fourth Proportional to 576.68, 869.84 and 542.99

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Solution

The fourth proportional to 576.68, 869.84 and 542.99 is: 819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.68 : 869.84 = 542.99 : x
  2. Step 2: Convert to fraction form
    576.68/869.84 = 542.99/x
  3. Step 3: Cross multiply
    576.68x = 869.84 × 542.99
  4. Step 4: Simplify right side
    576.68x = 472,307.36
  5. Step 5: Solve for x
    x = 472,307.36/576.68
  6. Step 6: Final answer
    x = 819.02

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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.