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Finding the Fourth Proportional to 387.92, 581.40 and 277.66

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Solution

The fourth proportional to 387.92, 581.40 and 277.66 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.92 : 581.40 = 277.66 : x
  2. Step 2: Convert to fraction form
    387.92/581.40 = 277.66/x
  3. Step 3: Cross multiply
    387.92x = 581.40 × 277.66
  4. Step 4: Simplify right side
    387.92x = 161,430.14
  5. Step 5: Solve for x
    x = 161,430.14/387.92
  6. Step 6: Final answer
    x = 416.14

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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.