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Finding the Fourth Proportional to 487.94, 673.30 and 288.78

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Solution

The fourth proportional to 487.94, 673.30 and 288.78 is: 398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.94 : 673.30 = 288.78 : x
  2. Step 2: Convert to fraction form
    487.94/673.30 = 288.78/x
  3. Step 3: Cross multiply
    487.94x = 673.30 × 288.78
  4. Step 4: Simplify right side
    487.94x = 194,435.57
  5. Step 5: Solve for x
    x = 194,435.57/487.94
  6. Step 6: Final answer
    x = 398.48

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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.