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Finding the Fourth Proportional to 306.74, 462.70 and 297.02

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Solution

The fourth proportional to 306.74, 462.70 and 297.02 is: 448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 462.70 = 297.02 : x
  2. Step 2: Convert to fraction form
    306.74/462.70 = 297.02/x
  3. Step 3: Cross multiply
    306.74x = 462.70 × 297.02
  4. Step 4: Simplify right side
    306.74x = 137,431.15
  5. Step 5: Solve for x
    x = 137,431.15/306.74
  6. Step 6: Final answer
    x = 448.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.