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Finding the Fourth Proportional to 316.41, 471.03 and 312.90

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Solution

The fourth proportional to 316.41, 471.03 and 312.90 is: 465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.41 : 471.03 = 312.90 : x
  2. Step 2: Convert to fraction form
    316.41/471.03 = 312.90/x
  3. Step 3: Cross multiply
    316.41x = 471.03 × 312.90
  4. Step 4: Simplify right side
    316.41x = 147,385.29
  5. Step 5: Solve for x
    x = 147,385.29/316.41
  6. Step 6: Final answer
    x = 465.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.