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Finding the Fourth Proportional to 337.74, 505.94 and 289.23

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Solution

The fourth proportional to 337.74, 505.94 and 289.23 is: 433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.74 : 505.94 = 289.23 : x
  2. Step 2: Convert to fraction form
    337.74/505.94 = 289.23/x
  3. Step 3: Cross multiply
    337.74x = 505.94 × 289.23
  4. Step 4: Simplify right side
    337.74x = 146,331.58
  5. Step 5: Solve for x
    x = 146,331.58/337.74
  6. Step 6: Final answer
    x = 433.27

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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.