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Finding the Fourth Proportional to 310.99, 463.46 and 301.61

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Solution

The fourth proportional to 310.99, 463.46 and 301.61 is: 449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.99 : 463.46 = 301.61 : x
  2. Step 2: Convert to fraction form
    310.99/463.46 = 301.61/x
  3. Step 3: Cross multiply
    310.99x = 463.46 × 301.61
  4. Step 4: Simplify right side
    310.99x = 139,780.35
  5. Step 5: Solve for x
    x = 139,780.35/310.99
  6. Step 6: Final answer
    x = 449.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.