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Finding the Fourth Proportional to 290.87, 435.22 and 214.05

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Solution

The fourth proportional to 290.87, 435.22 and 214.05 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.87 : 435.22 = 214.05 : x
  2. Step 2: Convert to fraction form
    290.87/435.22 = 214.05/x
  3. Step 3: Cross multiply
    290.87x = 435.22 × 214.05
  4. Step 4: Simplify right side
    290.87x = 93,158.31
  5. Step 5: Solve for x
    x = 93,158.31/290.87
  6. Step 6: Final answer
    x = 320.28

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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.