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Finding the Fourth Proportional to 578.04, 862.18 and 560.75

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Solution

The fourth proportional to 578.04, 862.18 and 560.75 is: 836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 862.18 = 560.75 : x
  2. Step 2: Convert to fraction form
    578.04/862.18 = 560.75/x
  3. Step 3: Cross multiply
    578.04x = 862.18 × 560.75
  4. Step 4: Simplify right side
    578.04x = 483,463.12
  5. Step 5: Solve for x
    x = 483,463.12/578.04
  6. Step 6: Final answer
    x = 836.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.