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Finding the Fourth Proportional to 408.02, 562.29 and 291.38

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Solution

The fourth proportional to 408.02, 562.29 and 291.38 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.02 : 562.29 = 291.38 : x
  2. Step 2: Convert to fraction form
    408.02/562.29 = 291.38/x
  3. Step 3: Cross multiply
    408.02x = 562.29 × 291.38
  4. Step 4: Simplify right side
    408.02x = 163,840.06
  5. Step 5: Solve for x
    x = 163,840.06/408.02
  6. Step 6: Final answer
    x = 401.55

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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.