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Finding the Fourth Proportional to 387.79, 580.32 and 278.23

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Solution

The fourth proportional to 387.79, 580.32 and 278.23 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.79 : 580.32 = 278.23 : x
  2. Step 2: Convert to fraction form
    387.79/580.32 = 278.23/x
  3. Step 3: Cross multiply
    387.79x = 580.32 × 278.23
  4. Step 4: Simplify right side
    387.79x = 161,460.98
  5. Step 5: Solve for x
    x = 161,460.98/387.79
  6. Step 6: Final answer
    x = 416.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.