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Finding the Fourth Proportional to 408.04, 561.80 and 345.74

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Solution

The fourth proportional to 408.04, 561.80 and 345.74 is: 476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.04 : 561.80 = 345.74 : x
  2. Step 2: Convert to fraction form
    408.04/561.80 = 345.74/x
  3. Step 3: Cross multiply
    408.04x = 561.80 × 345.74
  4. Step 4: Simplify right side
    408.04x = 194,234.79
  5. Step 5: Solve for x
    x = 194,234.79/408.04
  6. Step 6: Final answer
    x = 476.02

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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.