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Finding the Fourth Proportional to 370.88, 511.91 and 213.53

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Solution

The fourth proportional to 370.88, 511.91 and 213.53 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.88 : 511.91 = 213.53 : x
  2. Step 2: Convert to fraction form
    370.88/511.91 = 213.53/x
  3. Step 3: Cross multiply
    370.88x = 511.91 × 213.53
  4. Step 4: Simplify right side
    370.88x = 109,304.52
  5. Step 5: Solve for x
    x = 109,304.52/370.88
  6. Step 6: Final answer
    x = 294.72

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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.