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Finding the Fourth Proportional to 488.66, 674.35 and 264.60

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Solution

The fourth proportional to 488.66, 674.35 and 264.60 is: 365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.66 : 674.35 = 264.60 : x
  2. Step 2: Convert to fraction form
    488.66/674.35 = 264.60/x
  3. Step 3: Cross multiply
    488.66x = 674.35 × 264.60
  4. Step 4: Simplify right side
    488.66x = 178,431.23
  5. Step 5: Solve for x
    x = 178,431.23/488.66
  6. Step 6: Final answer
    x = 365.14

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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.