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Finding the Fourth Proportional to 370.31, 554.85 and 261.56

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Solution

The fourth proportional to 370.31, 554.85 and 261.56 is: 391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.31 : 554.85 = 261.56 : x
  2. Step 2: Convert to fraction form
    370.31/554.85 = 261.56/x
  3. Step 3: Cross multiply
    370.31x = 554.85 × 261.56
  4. Step 4: Simplify right side
    370.31x = 145,127.95
  5. Step 5: Solve for x
    x = 145,127.95/370.31
  6. Step 6: Final answer
    x = 391.91

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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.