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Finding the Fourth Proportional to 482.65, 723.80 and 174.43

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Solution

The fourth proportional to 482.65, 723.80 and 174.43 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.65 : 723.80 = 174.43 : x
  2. Step 2: Convert to fraction form
    482.65/723.80 = 174.43/x
  3. Step 3: Cross multiply
    482.65x = 723.80 × 174.43
  4. Step 4: Simplify right side
    482.65x = 126,252.43
  5. Step 5: Solve for x
    x = 126,252.43/482.65
  6. Step 6: Final answer
    x = 261.58

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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.