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Finding the Fourth Proportional to 467.38, 644.79 and 368.74

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Solution

The fourth proportional to 467.38, 644.79 and 368.74 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.38 : 644.79 = 368.74 : x
  2. Step 2: Convert to fraction form
    467.38/644.79 = 368.74/x
  3. Step 3: Cross multiply
    467.38x = 644.79 × 368.74
  4. Step 4: Simplify right side
    467.38x = 237,759.86
  5. Step 5: Solve for x
    x = 237,759.86/467.38
  6. Step 6: Final answer
    x = 508.71

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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.