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Finding the Fourth Proportional to 419.64, 626.97 and 405.28

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Solution

The fourth proportional to 419.64, 626.97 and 405.28 is: 605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 626.97 = 405.28 : x
  2. Step 2: Convert to fraction form
    419.64/626.97 = 405.28/x
  3. Step 3: Cross multiply
    419.64x = 626.97 × 405.28
  4. Step 4: Simplify right side
    419.64x = 254,098.40
  5. Step 5: Solve for x
    x = 254,098.40/419.64
  6. Step 6: Final answer
    x = 605.52

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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.