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Finding the Fourth Proportional to 385.48, 531.54 and 261.16

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Solution

The fourth proportional to 385.48, 531.54 and 261.16 is: 360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 531.54 = 261.16 : x
  2. Step 2: Convert to fraction form
    385.48/531.54 = 261.16/x
  3. Step 3: Cross multiply
    385.48x = 531.54 × 261.16
  4. Step 4: Simplify right side
    385.48x = 138,816.99
  5. Step 5: Solve for x
    x = 138,816.99/385.48
  6. Step 6: Final answer
    x = 360.11

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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.