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Finding the Fourth Proportional to 419.04, 626.04 and 416.64

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Solution

The fourth proportional to 419.04, 626.04 and 416.64 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 626.04 = 416.64 : x
  2. Step 2: Convert to fraction form
    419.04/626.04 = 416.64/x
  3. Step 3: Cross multiply
    419.04x = 626.04 × 416.64
  4. Step 4: Simplify right side
    419.04x = 260,833.31
  5. Step 5: Solve for x
    x = 260,833.31/419.04
  6. Step 6: Final answer
    x = 622.45

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Why These Related Problems?

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