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Finding the Fourth Proportional to 304.79, 457.20 and 99.41

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Solution

The fourth proportional to 304.79, 457.20 and 99.41 is: 149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.79 : 457.20 = 99.41 : x
  2. Step 2: Convert to fraction form
    304.79/457.20 = 99.41/x
  3. Step 3: Cross multiply
    304.79x = 457.20 × 99.41
  4. Step 4: Simplify right side
    304.79x = 45,447.97
  5. Step 5: Solve for x
    x = 45,447.97/304.79
  6. Step 6: Final answer
    x = 149.11

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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.