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Finding the Fourth Proportional to 409.32, 613.98 and 236.16

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Solution

The fourth proportional to 409.32, 613.98 and 236.16 is: 354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 613.98 = 236.16 : x
  2. Step 2: Convert to fraction form
    409.32/613.98 = 236.16/x
  3. Step 3: Cross multiply
    409.32x = 613.98 × 236.16
  4. Step 4: Simplify right side
    409.32x = 144,997.52
  5. Step 5: Solve for x
    x = 144,997.52/409.32
  6. Step 6: Final answer
    x = 354.24

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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.