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Finding the Fourth Proportional to 316.36, 474.56 and 299.05

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Solution

The fourth proportional to 316.36, 474.56 and 299.05 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.36 : 474.56 = 299.05 : x
  2. Step 2: Convert to fraction form
    316.36/474.56 = 299.05/x
  3. Step 3: Cross multiply
    316.36x = 474.56 × 299.05
  4. Step 4: Simplify right side
    316.36x = 141,915.61
  5. Step 5: Solve for x
    x = 141,915.61/316.36
  6. Step 6: Final answer
    x = 448.59

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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.