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Finding the Fourth Proportional to 401.46, 602.57 and 206.62

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Solution

The fourth proportional to 401.46, 602.57 and 206.62 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.46 : 602.57 = 206.62 : x
  2. Step 2: Convert to fraction form
    401.46/602.57 = 206.62/x
  3. Step 3: Cross multiply
    401.46x = 602.57 × 206.62
  4. Step 4: Simplify right side
    401.46x = 124,502.02
  5. Step 5: Solve for x
    x = 124,502.02/401.46
  6. Step 6: Final answer
    x = 310.13

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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.