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Finding the Fourth Proportional to 560.82, 843.21 and 542.35

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Solution

The fourth proportional to 560.82, 843.21 and 542.35 is: 815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.82 : 843.21 = 542.35 : x
  2. Step 2: Convert to fraction form
    560.82/843.21 = 542.35/x
  3. Step 3: Cross multiply
    560.82x = 843.21 × 542.35
  4. Step 4: Simplify right side
    560.82x = 457,311.25
  5. Step 5: Solve for x
    x = 457,311.25/560.82
  6. Step 6: Final answer
    x = 815.43

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