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Finding the Fourth Proportional to 572.05, 858.68 and 542.89

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Solution

The fourth proportional to 572.05, 858.68 and 542.89 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.05 : 858.68 = 542.89 : x
  2. Step 2: Convert to fraction form
    572.05/858.68 = 542.89/x
  3. Step 3: Cross multiply
    572.05x = 858.68 × 542.89
  4. Step 4: Simplify right side
    572.05x = 466,168.79
  5. Step 5: Solve for x
    x = 466,168.79/572.05
  6. Step 6: Final answer
    x = 814.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.