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Finding the Fourth Proportional to 408.24, 561.72 and 370.80

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Solution

The fourth proportional to 408.24, 561.72 and 370.80 is: 510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 561.72 = 370.80 : x
  2. Step 2: Convert to fraction form
    408.24/561.72 = 370.80/x
  3. Step 3: Cross multiply
    408.24x = 561.72 × 370.80
  4. Step 4: Simplify right side
    408.24x = 208,285.78
  5. Step 5: Solve for x
    x = 208,285.78/408.24
  6. Step 6: Final answer
    x = 510.20

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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.