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Finding the Fourth Proportional to 507.04, 699.77 and 286.06

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Solution

The fourth proportional to 507.04, 699.77 and 286.06 is: 394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.04 : 699.77 = 286.06 : x
  2. Step 2: Convert to fraction form
    507.04/699.77 = 286.06/x
  3. Step 3: Cross multiply
    507.04x = 699.77 × 286.06
  4. Step 4: Simplify right side
    507.04x = 200,176.21
  5. Step 5: Solve for x
    x = 200,176.21/507.04
  6. Step 6: Final answer
    x = 394.79

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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.