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Finding the Fourth Proportional to 304.97, 457.29 and 117.24

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Solution

The fourth proportional to 304.97, 457.29 and 117.24 is: 175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.97 : 457.29 = 117.24 : x
  2. Step 2: Convert to fraction form
    304.97/457.29 = 117.24/x
  3. Step 3: Cross multiply
    304.97x = 457.29 × 117.24
  4. Step 4: Simplify right side
    304.97x = 53,612.68
  5. Step 5: Solve for x
    x = 53,612.68/304.97
  6. Step 6: Final answer
    x = 175.80

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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.