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Finding the Fourth Proportional to 482.15, 723.43 and 174.15

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Solution

The fourth proportional to 482.15, 723.43 and 174.15 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.15 : 723.43 = 174.15 : x
  2. Step 2: Convert to fraction form
    482.15/723.43 = 174.15/x
  3. Step 3: Cross multiply
    482.15x = 723.43 × 174.15
  4. Step 4: Simplify right side
    482.15x = 125,985.55
  5. Step 5: Solve for x
    x = 125,985.55/482.15
  6. Step 6: Final answer
    x = 261.30

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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.