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Finding the Fourth Proportional to 289.94, 434.37 and 212.93

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Solution

The fourth proportional to 289.94, 434.37 and 212.93 is: 319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.94 : 434.37 = 212.93 : x
  2. Step 2: Convert to fraction form
    289.94/434.37 = 212.93/x
  3. Step 3: Cross multiply
    289.94x = 434.37 × 212.93
  4. Step 4: Simplify right side
    289.94x = 92,490.40
  5. Step 5: Solve for x
    x = 92,490.40/289.94
  6. Step 6: Final answer
    x = 319.00

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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.