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Finding the Fourth Proportional to 482.42, 723.15 and 174.02

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Solution

The fourth proportional to 482.42, 723.15 and 174.02 is: 260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.42 : 723.15 = 174.02 : x
  2. Step 2: Convert to fraction form
    482.42/723.15 = 174.02/x
  3. Step 3: Cross multiply
    482.42x = 723.15 × 174.02
  4. Step 4: Simplify right side
    482.42x = 125,842.56
  5. Step 5: Solve for x
    x = 125,842.56/482.42
  6. Step 6: Final answer
    x = 260.86

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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.