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Finding the Fourth Proportional to 402.11, 603.39 and 290.93

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Solution

The fourth proportional to 402.11, 603.39 and 290.93 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.11 : 603.39 = 290.93 : x
  2. Step 2: Convert to fraction form
    402.11/603.39 = 290.93/x
  3. Step 3: Cross multiply
    402.11x = 603.39 × 290.93
  4. Step 4: Simplify right side
    402.11x = 175,544.25
  5. Step 5: Solve for x
    x = 175,544.25/402.11
  6. Step 6: Final answer
    x = 436.56

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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.