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Finding the Fourth Proportional to 409.32, 613.45 and 263.02

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Solution

The fourth proportional to 409.32, 613.45 and 263.02 is: 394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 613.45 = 263.02 : x
  2. Step 2: Convert to fraction form
    409.32/613.45 = 263.02/x
  3. Step 3: Cross multiply
    409.32x = 613.45 × 263.02
  4. Step 4: Simplify right side
    409.32x = 161,349.62
  5. Step 5: Solve for x
    x = 161,349.62/409.32
  6. Step 6: Final answer
    x = 394.19

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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.