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Finding the Fourth Proportional to 408.65, 565.43 and 356.31

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Solution

The fourth proportional to 408.65, 565.43 and 356.31 is: 493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 565.43 = 356.31 : x
  2. Step 2: Convert to fraction form
    408.65/565.43 = 356.31/x
  3. Step 3: Cross multiply
    408.65x = 565.43 × 356.31
  4. Step 4: Simplify right side
    408.65x = 201,466.58
  5. Step 5: Solve for x
    x = 201,466.58/408.65
  6. Step 6: Final answer
    x = 493.00

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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.