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Finding the Fourth Proportional to 489.65, 675.71 and 290.49

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Solution

The fourth proportional to 489.65, 675.71 and 290.49 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.65 : 675.71 = 290.49 : x
  2. Step 2: Convert to fraction form
    489.65/675.71 = 290.49/x
  3. Step 3: Cross multiply
    489.65x = 675.71 × 290.49
  4. Step 4: Simplify right side
    489.65x = 196,284.10
  5. Step 5: Solve for x
    x = 196,284.10/489.65
  6. Step 6: Final answer
    x = 400.87

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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.