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Finding the Fourth Proportional to 489.39, 675.09 and 302.91

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Solution

The fourth proportional to 489.39, 675.09 and 302.91 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.39 : 675.09 = 302.91 : x
  2. Step 2: Convert to fraction form
    489.39/675.09 = 302.91/x
  3. Step 3: Cross multiply
    489.39x = 675.09 × 302.91
  4. Step 4: Simplify right side
    489.39x = 204,491.51
  5. Step 5: Solve for x
    x = 204,491.51/489.39
  6. Step 6: Final answer
    x = 417.85

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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.