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Finding the Fourth Proportional to 330.26, 456.17 and 260.42

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Solution

The fourth proportional to 330.26, 456.17 and 260.42 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.26 : 456.17 = 260.42 : x
  2. Step 2: Convert to fraction form
    330.26/456.17 = 260.42/x
  3. Step 3: Cross multiply
    330.26x = 456.17 × 260.42
  4. Step 4: Simplify right side
    330.26x = 118,792.21
  5. Step 5: Solve for x
    x = 118,792.21/330.26
  6. Step 6: Final answer
    x = 359.70

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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.