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Finding the Fourth Proportional to 489.53, 675.36 and 302.82

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Solution

The fourth proportional to 489.53, 675.36 and 302.82 is: 417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.53 : 675.36 = 302.82 : x
  2. Step 2: Convert to fraction form
    489.53/675.36 = 302.82/x
  3. Step 3: Cross multiply
    489.53x = 675.36 × 302.82
  4. Step 4: Simplify right side
    489.53x = 204,512.52
  5. Step 5: Solve for x
    x = 204,512.52/489.53
  6. Step 6: Final answer
    x = 417.78

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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.