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Finding the Fourth Proportional to 330.83, 456.76 and 295.74

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Solution

The fourth proportional to 330.83, 456.76 and 295.74 is: 408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.83 : 456.76 = 295.74 : x
  2. Step 2: Convert to fraction form
    330.83/456.76 = 295.74/x
  3. Step 3: Cross multiply
    330.83x = 456.76 × 295.74
  4. Step 4: Simplify right side
    330.83x = 135,083.43
  5. Step 5: Solve for x
    x = 135,083.43/330.83
  6. Step 6: Final answer
    x = 408.32

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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.