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Finding the Fourth Proportional to 329.52, 454.40 and 285.76

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Solution

The fourth proportional to 329.52, 454.40 and 285.76 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.52 : 454.40 = 285.76 : x
  2. Step 2: Convert to fraction form
    329.52/454.40 = 285.76/x
  3. Step 3: Cross multiply
    329.52x = 454.40 × 285.76
  4. Step 4: Simplify right side
    329.52x = 129,849.34
  5. Step 5: Solve for x
    x = 129,849.34/329.52
  6. Step 6: Final answer
    x = 394.06

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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.