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Finding the Fourth Proportional to 508.86, 701.46 and 397.98

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Solution

The fourth proportional to 508.86, 701.46 and 397.98 is: 548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 701.46 = 397.98 : x
  2. Step 2: Convert to fraction form
    508.86/701.46 = 397.98/x
  3. Step 3: Cross multiply
    508.86x = 701.46 × 397.98
  4. Step 4: Simplify right side
    508.86x = 279,167.05
  5. Step 5: Solve for x
    x = 279,167.05/508.86
  6. Step 6: Final answer
    x = 548.61

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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.