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Finding the Fourth Proportional to 506.93, 699.59 and 285.84

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Solution

The fourth proportional to 506.93, 699.59 and 285.84 is: 394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.93 : 699.59 = 285.84 : x
  2. Step 2: Convert to fraction form
    506.93/699.59 = 285.84/x
  3. Step 3: Cross multiply
    506.93x = 699.59 × 285.84
  4. Step 4: Simplify right side
    506.93x = 199,971.52
  5. Step 5: Solve for x
    x = 199,971.52/506.93
  6. Step 6: Final answer
    x = 394.48

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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.