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Finding the Fourth Proportional to 407.88, 563.10 and 277.08

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Solution

The fourth proportional to 407.88, 563.10 and 277.08 is: 382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 563.10 = 277.08 : x
  2. Step 2: Convert to fraction form
    407.88/563.10 = 277.08/x
  3. Step 3: Cross multiply
    407.88x = 563.10 × 277.08
  4. Step 4: Simplify right side
    407.88x = 156,023.75
  5. Step 5: Solve for x
    x = 156,023.75/407.88
  6. Step 6: Final answer
    x = 382.52

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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.