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Finding the Fourth Proportional to 570.24, 850.77 and 542.70

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Solution

The fourth proportional to 570.24, 850.77 and 542.70 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 850.77 = 542.70 : x
  2. Step 2: Convert to fraction form
    570.24/850.77 = 542.70/x
  3. Step 3: Cross multiply
    570.24x = 850.77 × 542.70
  4. Step 4: Simplify right side
    570.24x = 461,712.88
  5. Step 5: Solve for x
    x = 461,712.88/570.24
  6. Step 6: Final answer
    x = 809.68

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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.