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Finding the Fourth Proportional to 564.57, 839.45 and 542.70

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Solution

The fourth proportional to 564.57, 839.45 and 542.70 is: 806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 839.45 = 542.70 : x
  2. Step 2: Convert to fraction form
    564.57/839.45 = 542.70/x
  3. Step 3: Cross multiply
    564.57x = 839.45 × 542.70
  4. Step 4: Simplify right side
    564.57x = 455,570.87
  5. Step 5: Solve for x
    x = 455,570.87/564.57
  6. Step 6: Final answer
    x = 806.93

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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.