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Finding the Fourth Proportional to 403.82, 557.28 and 238.16

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Solution

The fourth proportional to 403.82, 557.28 and 238.16 is: 328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 557.28 = 238.16 : x
  2. Step 2: Convert to fraction form
    403.82/557.28 = 238.16/x
  3. Step 3: Cross multiply
    403.82x = 557.28 × 238.16
  4. Step 4: Simplify right side
    403.82x = 132,721.80
  5. Step 5: Solve for x
    x = 132,721.80/403.82
  6. Step 6: Final answer
    x = 328.67

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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.