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Finding the Fourth Proportional to 408.65, 612.54 and 202.95

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Solution

The fourth proportional to 408.65, 612.54 and 202.95 is: 304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 612.54 = 202.95 : x
  2. Step 2: Convert to fraction form
    408.65/612.54 = 202.95/x
  3. Step 3: Cross multiply
    408.65x = 612.54 × 202.95
  4. Step 4: Simplify right side
    408.65x = 124,314.99
  5. Step 5: Solve for x
    x = 124,314.99/408.65
  6. Step 6: Final answer
    x = 304.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.