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Finding the Fourth Proportional to 489.24, 675.23 and 302.83

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Solution

The fourth proportional to 489.24, 675.23 and 302.83 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.24 : 675.23 = 302.83 : x
  2. Step 2: Convert to fraction form
    489.24/675.23 = 302.83/x
  3. Step 3: Cross multiply
    489.24x = 675.23 × 302.83
  4. Step 4: Simplify right side
    489.24x = 204,476.70
  5. Step 5: Solve for x
    x = 204,476.70/489.24
  6. Step 6: Final answer
    x = 417.95

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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.