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Finding the Fourth Proportional to 330.53, 456.17 and 206.24

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Solution

The fourth proportional to 330.53, 456.17 and 206.24 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.53 : 456.17 = 206.24 : x
  2. Step 2: Convert to fraction form
    330.53/456.17 = 206.24/x
  3. Step 3: Cross multiply
    330.53x = 456.17 × 206.24
  4. Step 4: Simplify right side
    330.53x = 94,077.19
  5. Step 5: Solve for x
    x = 94,077.19/330.53
  6. Step 6: Final answer
    x = 284.63

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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.