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Finding the Fourth Proportional to 407.78, 563.60 and 342.17

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Solution

The fourth proportional to 407.78, 563.60 and 342.17 is: 472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.78 : 563.60 = 342.17 : x
  2. Step 2: Convert to fraction form
    407.78/563.60 = 342.17/x
  3. Step 3: Cross multiply
    407.78x = 563.60 × 342.17
  4. Step 4: Simplify right side
    407.78x = 192,847.01
  5. Step 5: Solve for x
    x = 192,847.01/407.78
  6. Step 6: Final answer
    x = 472.92

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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.