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Finding the Fourth Proportional to 506.35, 698.73 and 285.32

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Solution

The fourth proportional to 506.35, 698.73 and 285.32 is: 393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.35 : 698.73 = 285.32 : x
  2. Step 2: Convert to fraction form
    506.35/698.73 = 285.32/x
  3. Step 3: Cross multiply
    506.35x = 698.73 × 285.32
  4. Step 4: Simplify right side
    506.35x = 199,361.64
  5. Step 5: Solve for x
    x = 199,361.64/506.35
  6. Step 6: Final answer
    x = 393.72

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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.