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Finding the Fourth Proportional to 316.66, 475.22 and 295.25

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Solution

The fourth proportional to 316.66, 475.22 and 295.25 is: 443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.66 : 475.22 = 295.25 : x
  2. Step 2: Convert to fraction form
    316.66/475.22 = 295.25/x
  3. Step 3: Cross multiply
    316.66x = 475.22 × 295.25
  4. Step 4: Simplify right side
    316.66x = 140,305.41
  5. Step 5: Solve for x
    x = 140,305.41/316.66
  6. Step 6: Final answer
    x = 443.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.