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Finding the Fourth Proportional to 489.92, 676.04 and 405.16

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Solution

The fourth proportional to 489.92, 676.04 and 405.16 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.92 : 676.04 = 405.16 : x
  2. Step 2: Convert to fraction form
    489.92/676.04 = 405.16/x
  3. Step 3: Cross multiply
    489.92x = 676.04 × 405.16
  4. Step 4: Simplify right side
    489.92x = 273,900.65
  5. Step 5: Solve for x
    x = 273,900.65/489.92
  6. Step 6: Final answer
    x = 559.08

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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.