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Finding the Fourth Proportional to 467.16, 698.22 and 408.14

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Solution

The fourth proportional to 467.16, 698.22 and 408.14 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 698.22 = 408.14 : x
  2. Step 2: Convert to fraction form
    467.16/698.22 = 408.14/x
  3. Step 3: Cross multiply
    467.16x = 698.22 × 408.14
  4. Step 4: Simplify right side
    467.16x = 284,968.02
  5. Step 5: Solve for x
    x = 284,968.02/467.16
  6. Step 6: Final answer
    x = 610.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.