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Finding the Fourth Proportional to 330.91, 456.13 and 260.86

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Solution

The fourth proportional to 330.91, 456.13 and 260.86 is: 359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.91 : 456.13 = 260.86 : x
  2. Step 2: Convert to fraction form
    330.91/456.13 = 260.86/x
  3. Step 3: Cross multiply
    330.91x = 456.13 × 260.86
  4. Step 4: Simplify right side
    330.91x = 118,984.28
  5. Step 5: Solve for x
    x = 118,984.28/330.91
  6. Step 6: Final answer
    x = 359.57

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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.