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Finding the Fourth Proportional to 491.24, 737.13 and 419.42

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Solution

The fourth proportional to 491.24, 737.13 and 419.42 is: 629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 737.13 = 419.42 : x
  2. Step 2: Convert to fraction form
    491.24/737.13 = 419.42/x
  3. Step 3: Cross multiply
    491.24x = 737.13 × 419.42
  4. Step 4: Simplify right side
    491.24x = 309,167.06
  5. Step 5: Solve for x
    x = 309,167.06/491.24
  6. Step 6: Final answer
    x = 629.36

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