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Finding the Fourth Proportional to 496.14, 742.98 and 380.10

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Solution

The fourth proportional to 496.14, 742.98 and 380.10 is: 569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.14 : 742.98 = 380.10 : x
  2. Step 2: Convert to fraction form
    496.14/742.98 = 380.10/x
  3. Step 3: Cross multiply
    496.14x = 742.98 × 380.10
  4. Step 4: Simplify right side
    496.14x = 282,406.70
  5. Step 5: Solve for x
    x = 282,406.70/496.14
  6. Step 6: Final answer
    x = 569.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.