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Finding the Fourth Proportional to 309.15, 463.86 and 296.87

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Solution

The fourth proportional to 309.15, 463.86 and 296.87 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.15 : 463.86 = 296.87 : x
  2. Step 2: Convert to fraction form
    309.15/463.86 = 296.87/x
  3. Step 3: Cross multiply
    309.15x = 463.86 × 296.87
  4. Step 4: Simplify right side
    309.15x = 137,703.80
  5. Step 5: Solve for x
    x = 137,703.80/309.15
  6. Step 6: Final answer
    x = 445.43

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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.