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Finding the Fourth Proportional to 507.61, 703.78 and 490.53

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Solution

The fourth proportional to 507.61, 703.78 and 490.53 is: 680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.61 : 703.78 = 490.53 : x
  2. Step 2: Convert to fraction form
    507.61/703.78 = 490.53/x
  3. Step 3: Cross multiply
    507.61x = 703.78 × 490.53
  4. Step 4: Simplify right side
    507.61x = 345,221.68
  5. Step 5: Solve for x
    x = 345,221.68/507.61
  6. Step 6: Final answer
    x = 680.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.