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Finding the Fourth Proportional to 373.28, 514.84 and 285.76

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Solution

The fourth proportional to 373.28, 514.84 and 285.76 is: 394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.28 : 514.84 = 285.76 : x
  2. Step 2: Convert to fraction form
    373.28/514.84 = 285.76/x
  3. Step 3: Cross multiply
    373.28x = 514.84 × 285.76
  4. Step 4: Simplify right side
    373.28x = 147,120.68
  5. Step 5: Solve for x
    x = 147,120.68/373.28
  6. Step 6: Final answer
    x = 394.13

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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.