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Finding the Fourth Proportional to 508.36, 701.34 and 397.84

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Solution

The fourth proportional to 508.36, 701.34 and 397.84 is: 548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.36 : 701.34 = 397.84 : x
  2. Step 2: Convert to fraction form
    508.36/701.34 = 397.84/x
  3. Step 3: Cross multiply
    508.36x = 701.34 × 397.84
  4. Step 4: Simplify right side
    508.36x = 279,021.11
  5. Step 5: Solve for x
    x = 279,021.11/508.36
  6. Step 6: Final answer
    x = 548.87

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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.