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Finding the Fourth Proportional to 489.59, 675.82 and 312.71

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Solution

The fourth proportional to 489.59, 675.82 and 312.71 is: 431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.59 : 675.82 = 312.71 : x
  2. Step 2: Convert to fraction form
    489.59/675.82 = 312.71/x
  3. Step 3: Cross multiply
    489.59x = 675.82 × 312.71
  4. Step 4: Simplify right side
    489.59x = 211,335.67
  5. Step 5: Solve for x
    x = 211,335.67/489.59
  6. Step 6: Final answer
    x = 431.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.