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Finding the Fourth Proportional to 385.78, 532.25 and 261.22

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Solution

The fourth proportional to 385.78, 532.25 and 261.22 is: 360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.78 : 532.25 = 261.22 : x
  2. Step 2: Convert to fraction form
    385.78/532.25 = 261.22/x
  3. Step 3: Cross multiply
    385.78x = 532.25 × 261.22
  4. Step 4: Simplify right side
    385.78x = 139,035.30
  5. Step 5: Solve for x
    x = 139,035.30/385.78
  6. Step 6: Final answer
    x = 360.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.