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Finding the Fourth Proportional to 409.01, 563.55 and 277.79

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Solution

The fourth proportional to 409.01, 563.55 and 277.79 is: 382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.01 : 563.55 = 277.79 : x
  2. Step 2: Convert to fraction form
    409.01/563.55 = 277.79/x
  3. Step 3: Cross multiply
    409.01x = 563.55 × 277.79
  4. Step 4: Simplify right side
    409.01x = 156,547.85
  5. Step 5: Solve for x
    x = 156,547.85/409.01
  6. Step 6: Final answer
    x = 382.75

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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.