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Finding the Fourth Proportional to 338.62, 506.10 and 289.87

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Solution

The fourth proportional to 338.62, 506.10 and 289.87 is: 433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.62 : 506.10 = 289.87 : x
  2. Step 2: Convert to fraction form
    338.62/506.10 = 289.87/x
  3. Step 3: Cross multiply
    338.62x = 506.10 × 289.87
  4. Step 4: Simplify right side
    338.62x = 146,703.21
  5. Step 5: Solve for x
    x = 146,703.21/338.62
  6. Step 6: Final answer
    x = 433.24

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Why These Related Problems?

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