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Finding the Fourth Proportional to 290.59, 434.97 and 202.65

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Solution

The fourth proportional to 290.59, 434.97 and 202.65 is: 303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.59 : 434.97 = 202.65 : x
  2. Step 2: Convert to fraction form
    290.59/434.97 = 202.65/x
  3. Step 3: Cross multiply
    290.59x = 434.97 × 202.65
  4. Step 4: Simplify right side
    290.59x = 88,146.67
  5. Step 5: Solve for x
    x = 88,146.67/290.59
  6. Step 6: Final answer
    x = 303.34

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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.