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Finding the Fourth Proportional to 370.28, 510.80 and 214.92

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Solution

The fourth proportional to 370.28, 510.80 and 214.92 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.28 : 510.80 = 214.92 : x
  2. Step 2: Convert to fraction form
    370.28/510.80 = 214.92/x
  3. Step 3: Cross multiply
    370.28x = 510.80 × 214.92
  4. Step 4: Simplify right side
    370.28x = 109,781.14
  5. Step 5: Solve for x
    x = 109,781.14/370.28
  6. Step 6: Final answer
    x = 296.48

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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.