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Finding the Fourth Proportional to 290.76, 435.98 and 235.78

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Solution

The fourth proportional to 290.76, 435.98 and 235.78 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.76 : 435.98 = 235.78 : x
  2. Step 2: Convert to fraction form
    290.76/435.98 = 235.78/x
  3. Step 3: Cross multiply
    290.76x = 435.98 × 235.78
  4. Step 4: Simplify right side
    290.76x = 102,794.86
  5. Step 5: Solve for x
    x = 102,794.86/290.76
  6. Step 6: Final answer
    x = 353.54

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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.