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Finding the Fourth Proportional to 290.32, 433.82 and 212.76

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Solution

The fourth proportional to 290.32, 433.82 and 212.76 is: 317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.32 : 433.82 = 212.76 : x
  2. Step 2: Convert to fraction form
    290.32/433.82 = 212.76/x
  3. Step 3: Cross multiply
    290.32x = 433.82 × 212.76
  4. Step 4: Simplify right side
    290.32x = 92,300.08
  5. Step 5: Solve for x
    x = 92,300.08/290.32
  6. Step 6: Final answer
    x = 317.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.