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Finding the Fourth Proportional to 306.90, 424.24 and 237.30

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Solution

The fourth proportional to 306.90, 424.24 and 237.30 is: 328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.90 : 424.24 = 237.30 : x
  2. Step 2: Convert to fraction form
    306.90/424.24 = 237.30/x
  3. Step 3: Cross multiply
    306.90x = 424.24 × 237.30
  4. Step 4: Simplify right side
    306.90x = 100,672.15
  5. Step 5: Solve for x
    x = 100,672.15/306.90
  6. Step 6: Final answer
    x = 328.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.