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Finding the Fourth Proportional to 290.05, 434.67 and 216.75

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Solution

The fourth proportional to 290.05, 434.67 and 216.75 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.05 : 434.67 = 216.75 : x
  2. Step 2: Convert to fraction form
    290.05/434.67 = 216.75/x
  3. Step 3: Cross multiply
    290.05x = 434.67 × 216.75
  4. Step 4: Simplify right side
    290.05x = 94,214.72
  5. Step 5: Solve for x
    x = 94,214.72/290.05
  6. Step 6: Final answer
    x = 324.82

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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.