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Finding the Fourth Proportional to 401.84, 602.31 and 204.32

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Solution

The fourth proportional to 401.84, 602.31 and 204.32 is: 306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 602.31 = 204.32 : x
  2. Step 2: Convert to fraction form
    401.84/602.31 = 204.32/x
  3. Step 3: Cross multiply
    401.84x = 602.31 × 204.32
  4. Step 4: Simplify right side
    401.84x = 123,065.68
  5. Step 5: Solve for x
    x = 123,065.68/401.84
  6. Step 6: Final answer
    x = 306.26

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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.