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Finding the Fourth Proportional to 489.64, 675.66 and 314.68

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Solution

The fourth proportional to 489.64, 675.66 and 314.68 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.64 : 675.66 = 314.68 : x
  2. Step 2: Convert to fraction form
    489.64/675.66 = 314.68/x
  3. Step 3: Cross multiply
    489.64x = 675.66 × 314.68
  4. Step 4: Simplify right side
    489.64x = 212,616.69
  5. Step 5: Solve for x
    x = 212,616.69/489.64
  6. Step 6: Final answer
    x = 434.23

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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.