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Finding the Fourth Proportional to 385.57, 578.49 and 248.86

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Solution

The fourth proportional to 385.57, 578.49 and 248.86 is: 373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 578.49 = 248.86 : x
  2. Step 2: Convert to fraction form
    385.57/578.49 = 248.86/x
  3. Step 3: Cross multiply
    385.57x = 578.49 × 248.86
  4. Step 4: Simplify right side
    385.57x = 143,963.02
  5. Step 5: Solve for x
    x = 143,963.02/385.57
  6. Step 6: Final answer
    x = 373.38

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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.