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Finding the Fourth Proportional to 572.40, 858.60 and 542.70

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Solution

The fourth proportional to 572.40, 858.60 and 542.70 is: 814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.40 : 858.60 = 542.70 : x
  2. Step 2: Convert to fraction form
    572.40/858.60 = 542.70/x
  3. Step 3: Cross multiply
    572.40x = 858.60 × 542.70
  4. Step 4: Simplify right side
    572.40x = 465,962.22
  5. Step 5: Solve for x
    x = 465,962.22/572.40
  6. Step 6: Final answer
    x = 814.05

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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.