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Finding the Fourth Proportional to 507.01, 699.69 and 285.97

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Solution

The fourth proportional to 507.01, 699.69 and 285.97 is: 394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.01 : 699.69 = 285.97 : x
  2. Step 2: Convert to fraction form
    507.01/699.69 = 285.97/x
  3. Step 3: Cross multiply
    507.01x = 699.69 × 285.97
  4. Step 4: Simplify right side
    507.01x = 200,089.67
  5. Step 5: Solve for x
    x = 200,089.67/507.01
  6. Step 6: Final answer
    x = 394.65

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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.