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Finding the Fourth Proportional to 507.91, 701.03 and 298.19

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Solution

The fourth proportional to 507.91, 701.03 and 298.19 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.91 : 701.03 = 298.19 : x
  2. Step 2: Convert to fraction form
    507.91/701.03 = 298.19/x
  3. Step 3: Cross multiply
    507.91x = 701.03 × 298.19
  4. Step 4: Simplify right side
    507.91x = 209,040.14
  5. Step 5: Solve for x
    x = 209,040.14/507.91
  6. Step 6: Final answer
    x = 411.57

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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.