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Finding the Fourth Proportional to 424.41, 588.23 and 416.64

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Solution

The fourth proportional to 424.41, 588.23 and 416.64 is: 577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.41 : 588.23 = 416.64 : x
  2. Step 2: Convert to fraction form
    424.41/588.23 = 416.64/x
  3. Step 3: Cross multiply
    424.41x = 588.23 × 416.64
  4. Step 4: Simplify right side
    424.41x = 245,078.06
  5. Step 5: Solve for x
    x = 245,078.06/424.41
  6. Step 6: Final answer
    x = 577.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.