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Finding the Fourth Proportional to 506.32, 698.64 and 285.22

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Solution

The fourth proportional to 506.32, 698.64 and 285.22 is: 393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 698.64 = 285.22 : x
  2. Step 2: Convert to fraction form
    506.32/698.64 = 285.22/x
  3. Step 3: Cross multiply
    506.32x = 698.64 × 285.22
  4. Step 4: Simplify right side
    506.32x = 199,266.10
  5. Step 5: Solve for x
    x = 199,266.10/506.32
  6. Step 6: Final answer
    x = 393.56

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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.