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Finding the Fourth Proportional to 316.13, 470.41 and 315.05

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Solution

The fourth proportional to 316.13, 470.41 and 315.05 is: 468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 470.41 = 315.05 : x
  2. Step 2: Convert to fraction form
    316.13/470.41 = 315.05/x
  3. Step 3: Cross multiply
    316.13x = 470.41 × 315.05
  4. Step 4: Simplify right side
    316.13x = 148,202.67
  5. Step 5: Solve for x
    x = 148,202.67/316.13
  6. Step 6: Final answer
    x = 468.80

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