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Finding the Fourth Proportional to 304.71, 457.09 and 99.31

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Solution

The fourth proportional to 304.71, 457.09 and 99.31 is: 148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 457.09 = 99.31 : x
  2. Step 2: Convert to fraction form
    304.71/457.09 = 99.31/x
  3. Step 3: Cross multiply
    304.71x = 457.09 × 99.31
  4. Step 4: Simplify right side
    304.71x = 45,393.61
  5. Step 5: Solve for x
    x = 45,393.61/304.71
  6. Step 6: Final answer
    x = 148.97

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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.