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Finding the Fourth Proportional to 290.60, 400.76 and 241.40

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Solution

The fourth proportional to 290.60, 400.76 and 241.40 is: 332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 400.76 = 241.40 : x
  2. Step 2: Convert to fraction form
    290.60/400.76 = 241.40/x
  3. Step 3: Cross multiply
    290.60x = 400.76 × 241.40
  4. Step 4: Simplify right side
    290.60x = 96,743.46
  5. Step 5: Solve for x
    x = 96,743.46/290.60
  6. Step 6: Final answer
    x = 332.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.