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Finding the Fourth Proportional to 508.15, 701.24 and 275.27

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Solution

The fourth proportional to 508.15, 701.24 and 275.27 is: 379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.15 : 701.24 = 275.27 : x
  2. Step 2: Convert to fraction form
    508.15/701.24 = 275.27/x
  3. Step 3: Cross multiply
    508.15x = 701.24 × 275.27
  4. Step 4: Simplify right side
    508.15x = 193,030.33
  5. Step 5: Solve for x
    x = 193,030.33/508.15
  6. Step 6: Final answer
    x = 379.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.