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Finding the Fourth Proportional to 385.77, 532.54 and 268.14

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Solution

The fourth proportional to 385.77, 532.54 and 268.14 is: 370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.77 : 532.54 = 268.14 : x
  2. Step 2: Convert to fraction form
    385.77/532.54 = 268.14/x
  3. Step 3: Cross multiply
    385.77x = 532.54 × 268.14
  4. Step 4: Simplify right side
    385.77x = 142,797.61
  5. Step 5: Solve for x
    x = 142,797.61/385.77
  6. Step 6: Final answer
    x = 370.16

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Why These Related Problems?

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