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Finding the Fourth Proportional to 489.60, 675.27 and 314.64

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Solution

The fourth proportional to 489.60, 675.27 and 314.64 is: 433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.60 : 675.27 = 314.64 : x
  2. Step 2: Convert to fraction form
    489.60/675.27 = 314.64/x
  3. Step 3: Cross multiply
    489.60x = 675.27 × 314.64
  4. Step 4: Simplify right side
    489.60x = 212,466.95
  5. Step 5: Solve for x
    x = 212,466.95/489.60
  6. Step 6: Final answer
    x = 433.96

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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.