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Finding the Fourth Proportional to 418.16, 576.96 and 294.32

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Solution

The fourth proportional to 418.16, 576.96 and 294.32 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.16 : 576.96 = 294.32 : x
  2. Step 2: Convert to fraction form
    418.16/576.96 = 294.32/x
  3. Step 3: Cross multiply
    418.16x = 576.96 × 294.32
  4. Step 4: Simplify right side
    418.16x = 169,810.87
  5. Step 5: Solve for x
    x = 169,810.87/418.16
  6. Step 6: Final answer
    x = 406.09

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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.