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Finding the Fourth Proportional to 316.81, 474.09 and 306.10

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Solution

The fourth proportional to 316.81, 474.09 and 306.10 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.81 : 474.09 = 306.10 : x
  2. Step 2: Convert to fraction form
    316.81/474.09 = 306.10/x
  3. Step 3: Cross multiply
    316.81x = 474.09 × 306.10
  4. Step 4: Simplify right side
    316.81x = 145,118.95
  5. Step 5: Solve for x
    x = 145,118.95/316.81
  6. Step 6: Final answer
    x = 458.06

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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.