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Finding the Fourth Proportional to 565.24, 783.20 and 542.56

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Solution

The fourth proportional to 565.24, 783.20 and 542.56 is: 751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.24 : 783.20 = 542.56 : x
  2. Step 2: Convert to fraction form
    565.24/783.20 = 542.56/x
  3. Step 3: Cross multiply
    565.24x = 783.20 × 542.56
  4. Step 4: Simplify right side
    565.24x = 424,932.99
  5. Step 5: Solve for x
    x = 424,932.99/565.24
  6. Step 6: Final answer
    x = 751.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.