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Finding the Fourth Proportional to 362.54, 542.91 and 253.82

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Solution

The fourth proportional to 362.54, 542.91 and 253.82 is: 380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.54 : 542.91 = 253.82 : x
  2. Step 2: Convert to fraction form
    362.54/542.91 = 253.82/x
  3. Step 3: Cross multiply
    362.54x = 542.91 × 253.82
  4. Step 4: Simplify right side
    362.54x = 137,801.42
  5. Step 5: Solve for x
    x = 137,801.42/362.54
  6. Step 6: Final answer
    x = 380.10

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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.