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Finding the Fourth Proportional to 578.06, 861.29 and 562.58

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Solution

The fourth proportional to 578.06, 861.29 and 562.58 is: 838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 861.29 = 562.58 : x
  2. Step 2: Convert to fraction form
    578.06/861.29 = 562.58/x
  3. Step 3: Cross multiply
    578.06x = 861.29 × 562.58
  4. Step 4: Simplify right side
    578.06x = 484,544.53
  5. Step 5: Solve for x
    x = 484,544.53/578.06
  6. Step 6: Final answer
    x = 838.23

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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.