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Finding the Fourth Proportional to 385.61, 531.71 and 275.04

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Solution

The fourth proportional to 385.61, 531.71 and 275.04 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.61 : 531.71 = 275.04 : x
  2. Step 2: Convert to fraction form
    385.61/531.71 = 275.04/x
  3. Step 3: Cross multiply
    385.61x = 531.71 × 275.04
  4. Step 4: Simplify right side
    385.61x = 146,240.14
  5. Step 5: Solve for x
    x = 146,240.14/385.61
  6. Step 6: Final answer
    x = 379.25

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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.