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Finding the Fourth Proportional to 307.44, 424.31 and 288.90

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Solution

The fourth proportional to 307.44, 424.31 and 288.90 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 424.31 = 288.90 : x
  2. Step 2: Convert to fraction form
    307.44/424.31 = 288.90/x
  3. Step 3: Cross multiply
    307.44x = 424.31 × 288.90
  4. Step 4: Simplify right side
    307.44x = 122,581.71
  5. Step 5: Solve for x
    x = 122,581.71/307.44
  6. Step 6: Final answer
    x = 398.72

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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.