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Finding the Fourth Proportional to 489.63, 675.60 and 314.95

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Solution

The fourth proportional to 489.63, 675.60 and 314.95 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.63 : 675.60 = 314.95 : x
  2. Step 2: Convert to fraction form
    489.63/675.60 = 314.95/x
  3. Step 3: Cross multiply
    489.63x = 675.60 × 314.95
  4. Step 4: Simplify right side
    489.63x = 212,778.65
  5. Step 5: Solve for x
    x = 212,778.65/489.63
  6. Step 6: Final answer
    x = 434.57

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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.