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Finding the Fourth Proportional to 487.89, 673.17 and 278.07

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Solution

The fourth proportional to 487.89, 673.17 and 278.07 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.89 : 673.17 = 278.07 : x
  2. Step 2: Convert to fraction form
    487.89/673.17 = 278.07/x
  3. Step 3: Cross multiply
    487.89x = 673.17 × 278.07
  4. Step 4: Simplify right side
    487.89x = 187,188.38
  5. Step 5: Solve for x
    x = 187,188.38/487.89
  6. Step 6: Final answer
    x = 383.67

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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.