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Finding the Fourth Proportional to 489.34, 674.91 and 314.70

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Solution

The fourth proportional to 489.34, 674.91 and 314.70 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.34 : 674.91 = 314.70 : x
  2. Step 2: Convert to fraction form
    489.34/674.91 = 314.70/x
  3. Step 3: Cross multiply
    489.34x = 674.91 × 314.70
  4. Step 4: Simplify right side
    489.34x = 212,394.18
  5. Step 5: Solve for x
    x = 212,394.18/489.34
  6. Step 6: Final answer
    x = 434.04

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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.