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Finding the Fourth Proportional to 338.16, 506.36 and 289.72

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Solution

The fourth proportional to 338.16, 506.36 and 289.72 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 506.36 = 289.72 : x
  2. Step 2: Convert to fraction form
    338.16/506.36 = 289.72/x
  3. Step 3: Cross multiply
    338.16x = 506.36 × 289.72
  4. Step 4: Simplify right side
    338.16x = 146,699.50
  5. Step 5: Solve for x
    x = 146,699.50/338.16
  6. Step 6: Final answer
    x = 433.82

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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.