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Finding the Fourth Proportional to 506.54, 697.89 and 396.02

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Solution

The fourth proportional to 506.54, 697.89 and 396.02 is: 545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.54 : 697.89 = 396.02 : x
  2. Step 2: Convert to fraction form
    506.54/697.89 = 396.02/x
  3. Step 3: Cross multiply
    506.54x = 697.89 × 396.02
  4. Step 4: Simplify right side
    506.54x = 276,378.40
  5. Step 5: Solve for x
    x = 276,378.40/506.54
  6. Step 6: Final answer
    x = 545.62

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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.