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Finding the Fourth Proportional to 289.99, 434.51 and 212.98

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Solution

The fourth proportional to 289.99, 434.51 and 212.98 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 434.51 = 212.98 : x
  2. Step 2: Convert to fraction form
    289.99/434.51 = 212.98/x
  3. Step 3: Cross multiply
    289.99x = 434.51 × 212.98
  4. Step 4: Simplify right side
    289.99x = 92,542.23
  5. Step 5: Solve for x
    x = 92,542.23/289.99
  6. Step 6: Final answer
    x = 319.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.