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Finding the Fourth Proportional to 488.67, 674.42 and 314.52

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Solution

The fourth proportional to 488.67, 674.42 and 314.52 is: 434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.67 : 674.42 = 314.52 : x
  2. Step 2: Convert to fraction form
    488.67/674.42 = 314.52/x
  3. Step 3: Cross multiply
    488.67x = 674.42 × 314.52
  4. Step 4: Simplify right side
    488.67x = 212,118.58
  5. Step 5: Solve for x
    x = 212,118.58/488.67
  6. Step 6: Final answer
    x = 434.07

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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.