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Finding the Fourth Proportional to 385.76, 579.54 and 249.08

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Solution

The fourth proportional to 385.76, 579.54 and 249.08 is: 374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.76 : 579.54 = 249.08 : x
  2. Step 2: Convert to fraction form
    385.76/579.54 = 249.08/x
  3. Step 3: Cross multiply
    385.76x = 579.54 × 249.08
  4. Step 4: Simplify right side
    385.76x = 144,348.93
  5. Step 5: Solve for x
    x = 144,348.93/385.76
  6. Step 6: Final answer
    x = 374.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.