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Finding the Fourth Proportional to 507.41, 698.98 and 367.13

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Solution

The fourth proportional to 507.41, 698.98 and 367.13 is: 505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.41 : 698.98 = 367.13 : x
  2. Step 2: Convert to fraction form
    507.41/698.98 = 367.13/x
  3. Step 3: Cross multiply
    507.41x = 698.98 × 367.13
  4. Step 4: Simplify right side
    507.41x = 256,618.05
  5. Step 5: Solve for x
    x = 256,618.05/507.41
  6. Step 6: Final answer
    x = 505.74

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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.