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Finding the Fourth Proportional to 385.84, 574.88 and 361

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Solution

The fourth proportional to 385.84, 574.88 and 361 is: 537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.84 : 574.88 = 361 : x
  2. Step 2: Convert to fraction form
    385.84/574.88 = 361/x
  3. Step 3: Cross multiply
    385.84x = 574.88 × 361
  4. Step 4: Simplify right side
    385.84x = 207,531.68
  5. Step 5: Solve for x
    x = 207,531.68/385.84
  6. Step 6: Final answer
    x = 537.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.