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Finding the Fourth Proportional to 482.29, 723.33 and 185.76

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Solution

The fourth proportional to 482.29, 723.33 and 185.76 is: 278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.29 : 723.33 = 185.76 : x
  2. Step 2: Convert to fraction form
    482.29/723.33 = 185.76/x
  3. Step 3: Cross multiply
    482.29x = 723.33 × 185.76
  4. Step 4: Simplify right side
    482.29x = 134,365.78
  5. Step 5: Solve for x
    x = 134,365.78/482.29
  6. Step 6: Final answer
    x = 278.60

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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.