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Finding the Fourth Proportional to 409.86, 613.98 and 328.32

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Solution

The fourth proportional to 409.86, 613.98 and 328.32 is: 491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 613.98 = 328.32 : x
  2. Step 2: Convert to fraction form
    409.86/613.98 = 328.32/x
  3. Step 3: Cross multiply
    409.86x = 613.98 × 328.32
  4. Step 4: Simplify right side
    409.86x = 201,581.91
  5. Step 5: Solve for x
    x = 201,581.91/409.86
  6. Step 6: Final answer
    x = 491.83

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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.