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Finding the Fourth Proportional to 488.08, 731.72 and 282.74

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Solution

The fourth proportional to 488.08, 731.72 and 282.74 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.08 : 731.72 = 282.74 : x
  2. Step 2: Convert to fraction form
    488.08/731.72 = 282.74/x
  3. Step 3: Cross multiply
    488.08x = 731.72 × 282.74
  4. Step 4: Simplify right side
    488.08x = 206,886.51
  5. Step 5: Solve for x
    x = 206,886.51/488.08
  6. Step 6: Final answer
    x = 423.88

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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.