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Finding the Fourth Proportional to 401.76, 602.82 and 209.28

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Solution

The fourth proportional to 401.76, 602.82 and 209.28 is: 314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 602.82 = 209.28 : x
  2. Step 2: Convert to fraction form
    401.76/602.82 = 209.28/x
  3. Step 3: Cross multiply
    401.76x = 602.82 × 209.28
  4. Step 4: Simplify right side
    401.76x = 126,158.17
  5. Step 5: Solve for x
    x = 126,158.17/401.76
  6. Step 6: Final answer
    x = 314.01

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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.