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Finding the Fourth Proportional to 489.42, 675.54 and 349.31

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Solution

The fourth proportional to 489.42, 675.54 and 349.31 is: 482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.42 : 675.54 = 349.31 : x
  2. Step 2: Convert to fraction form
    489.42/675.54 = 349.31/x
  3. Step 3: Cross multiply
    489.42x = 675.54 × 349.31
  4. Step 4: Simplify right side
    489.42x = 235,972.88
  5. Step 5: Solve for x
    x = 235,972.88/489.42
  6. Step 6: Final answer
    x = 482.15

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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.