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Finding the Fourth Proportional to 370.32, 511.15 and 270.79

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Solution

The fourth proportional to 370.32, 511.15 and 270.79 is: 373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.32 : 511.15 = 270.79 : x
  2. Step 2: Convert to fraction form
    370.32/511.15 = 270.79/x
  3. Step 3: Cross multiply
    370.32x = 511.15 × 270.79
  4. Step 4: Simplify right side
    370.32x = 138,414.31
  5. Step 5: Solve for x
    x = 138,414.31/370.32
  6. Step 6: Final answer
    x = 373.77

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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.