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Finding the Fourth Proportional to 508.05, 699.71 and 391.41

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Solution

The fourth proportional to 508.05, 699.71 and 391.41 is: 539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.05 : 699.71 = 391.41 : x
  2. Step 2: Convert to fraction form
    508.05/699.71 = 391.41/x
  3. Step 3: Cross multiply
    508.05x = 699.71 × 391.41
  4. Step 4: Simplify right side
    508.05x = 273,871.53
  5. Step 5: Solve for x
    x = 273,871.53/508.05
  6. Step 6: Final answer
    x = 539.06

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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.