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Finding the Fourth Proportional to 309.32, 463.51 and 280.29

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Solution

The fourth proportional to 309.32, 463.51 and 280.29 is: 420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.32 : 463.51 = 280.29 : x
  2. Step 2: Convert to fraction form
    309.32/463.51 = 280.29/x
  3. Step 3: Cross multiply
    309.32x = 463.51 × 280.29
  4. Step 4: Simplify right side
    309.32x = 129,917.73
  5. Step 5: Solve for x
    x = 129,917.73/309.32
  6. Step 6: Final answer
    x = 420.01

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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.