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Finding the Fourth Proportional to 596.75, 888.98 and 578.62

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Solution

The fourth proportional to 596.75, 888.98 and 578.62 is: 861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 888.98 = 578.62 : x
  2. Step 2: Convert to fraction form
    596.75/888.98 = 578.62/x
  3. Step 3: Cross multiply
    596.75x = 888.98 × 578.62
  4. Step 4: Simplify right side
    596.75x = 514,374.83
  5. Step 5: Solve for x
    x = 514,374.83/596.75
  6. Step 6: Final answer
    x = 861.96

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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.