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Finding the Fourth Proportional to 419.26, 626.30 and 411.16

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Solution

The fourth proportional to 419.26, 626.30 and 411.16 is: 614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.26 : 626.30 = 411.16 : x
  2. Step 2: Convert to fraction form
    419.26/626.30 = 411.16/x
  3. Step 3: Cross multiply
    419.26x = 626.30 × 411.16
  4. Step 4: Simplify right side
    419.26x = 257,509.51
  5. Step 5: Solve for x
    x = 257,509.51/419.26
  6. Step 6: Final answer
    x = 614.20

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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.