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Finding the Fourth Proportional to 489.88, 675.21 and 314.92

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Solution

The fourth proportional to 489.88, 675.21 and 314.92 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.88 : 675.21 = 314.92 : x
  2. Step 2: Convert to fraction form
    489.88/675.21 = 314.92/x
  3. Step 3: Cross multiply
    489.88x = 675.21 × 314.92
  4. Step 4: Simplify right side
    489.88x = 212,637.13
  5. Step 5: Solve for x
    x = 212,637.13/489.88
  6. Step 6: Final answer
    x = 434.06

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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.