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Finding the Fourth Proportional to 385.46, 532.11 and 245.77

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Solution

The fourth proportional to 385.46, 532.11 and 245.77 is: 339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.46 : 532.11 = 245.77 : x
  2. Step 2: Convert to fraction form
    385.46/532.11 = 245.77/x
  3. Step 3: Cross multiply
    385.46x = 532.11 × 245.77
  4. Step 4: Simplify right side
    385.46x = 130,773.43
  5. Step 5: Solve for x
    x = 130,773.43/385.46
  6. Step 6: Final answer
    x = 339.27

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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.