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Finding the Fourth Proportional to 468.27, 699.54 and 337.23

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Solution

The fourth proportional to 468.27, 699.54 and 337.23 is: 503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.27 : 699.54 = 337.23 : x
  2. Step 2: Convert to fraction form
    468.27/699.54 = 337.23/x
  3. Step 3: Cross multiply
    468.27x = 699.54 × 337.23
  4. Step 4: Simplify right side
    468.27x = 235,905.87
  5. Step 5: Solve for x
    x = 235,905.87/468.27
  6. Step 6: Final answer
    x = 503.78

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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.