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Finding the Fourth Proportional to 401.76, 602.47 and 206.38

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Solution

The fourth proportional to 401.76, 602.47 and 206.38 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.76 : 602.47 = 206.38 : x
  2. Step 2: Convert to fraction form
    401.76/602.47 = 206.38/x
  3. Step 3: Cross multiply
    401.76x = 602.47 × 206.38
  4. Step 4: Simplify right side
    401.76x = 124,338.77
  5. Step 5: Solve for x
    x = 124,338.77/401.76
  6. Step 6: Final answer
    x = 309.49

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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.