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Finding the Fourth Proportional to 367.64, 506.04 and 355.16

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Solution

The fourth proportional to 367.64, 506.04 and 355.16 is: 488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.64 : 506.04 = 355.16 : x
  2. Step 2: Convert to fraction form
    367.64/506.04 = 355.16/x
  3. Step 3: Cross multiply
    367.64x = 506.04 × 355.16
  4. Step 4: Simplify right side
    367.64x = 179,725.17
  5. Step 5: Solve for x
    x = 179,725.17/367.64
  6. Step 6: Final answer
    x = 488.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.