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Finding the Fourth Proportional to 385.40, 532.02 and 267.77

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Solution

The fourth proportional to 385.40, 532.02 and 267.77 is: 369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.40 : 532.02 = 267.77 : x
  2. Step 2: Convert to fraction form
    385.40/532.02 = 267.77/x
  3. Step 3: Cross multiply
    385.40x = 532.02 × 267.77
  4. Step 4: Simplify right side
    385.40x = 142,458.83
  5. Step 5: Solve for x
    x = 142,458.83/385.40
  6. Step 6: Final answer
    x = 369.64

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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.