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Finding the Fourth Proportional to 488.95, 674.76 and 264.89

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Solution

The fourth proportional to 488.95, 674.76 and 264.89 is: 365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.95 : 674.76 = 264.89 : x
  2. Step 2: Convert to fraction form
    488.95/674.76 = 264.89/x
  3. Step 3: Cross multiply
    488.95x = 674.76 × 264.89
  4. Step 4: Simplify right side
    488.95x = 178,736.18
  5. Step 5: Solve for x
    x = 178,736.18/488.95
  6. Step 6: Final answer
    x = 365.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.