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Finding the Fourth Proportional to 330.88, 456.48 and 206.52

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Solution

The fourth proportional to 330.88, 456.48 and 206.52 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 456.48 = 206.52 : x
  2. Step 2: Convert to fraction form
    330.88/456.48 = 206.52/x
  3. Step 3: Cross multiply
    330.88x = 456.48 × 206.52
  4. Step 4: Simplify right side
    330.88x = 94,272.25
  5. Step 5: Solve for x
    x = 94,272.25/330.88
  6. Step 6: Final answer
    x = 284.91

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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.