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Finding the Fourth Proportional to 289.57, 434.50 and 221.53

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Solution

The fourth proportional to 289.57, 434.50 and 221.53 is: 332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.57 : 434.50 = 221.53 : x
  2. Step 2: Convert to fraction form
    289.57/434.50 = 221.53/x
  3. Step 3: Cross multiply
    289.57x = 434.50 × 221.53
  4. Step 4: Simplify right side
    289.57x = 96,254.79
  5. Step 5: Solve for x
    x = 96,254.79/289.57
  6. Step 6: Final answer
    x = 332.41

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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.