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Finding the Fourth Proportional to 370.95, 511.90 and 213.59

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Solution

The fourth proportional to 370.95, 511.90 and 213.59 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.95 : 511.90 = 213.59 : x
  2. Step 2: Convert to fraction form
    370.95/511.90 = 213.59/x
  3. Step 3: Cross multiply
    370.95x = 511.90 × 213.59
  4. Step 4: Simplify right side
    370.95x = 109,335.79
  5. Step 5: Solve for x
    x = 109,335.79/370.95
  6. Step 6: Final answer
    x = 294.74

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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.