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Finding the Fourth Proportional to 397.74, 597.14 and 306.52

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Solution

The fourth proportional to 397.74, 597.14 and 306.52 is: 460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 597.14 = 306.52 : x
  2. Step 2: Convert to fraction form
    397.74/597.14 = 306.52/x
  3. Step 3: Cross multiply
    397.74x = 597.14 × 306.52
  4. Step 4: Simplify right side
    397.74x = 183,033.48
  5. Step 5: Solve for x
    x = 183,033.48/397.74
  6. Step 6: Final answer
    x = 460.18

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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.