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Finding the Fourth Proportional to 419.01, 626.04 and 404.66

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Solution

The fourth proportional to 419.01, 626.04 and 404.66 is: 604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.01 : 626.04 = 404.66 : x
  2. Step 2: Convert to fraction form
    419.01/626.04 = 404.66/x
  3. Step 3: Cross multiply
    419.01x = 626.04 × 404.66
  4. Step 4: Simplify right side
    419.01x = 253,331.78
  5. Step 5: Solve for x
    x = 253,331.78/419.01
  6. Step 6: Final answer
    x = 604.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.