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Finding the Fourth Proportional to 418.40, 627.84 and 397.29

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Solution

The fourth proportional to 418.40, 627.84 and 397.29 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 627.84 = 397.29 : x
  2. Step 2: Convert to fraction form
    418.40/627.84 = 397.29/x
  3. Step 3: Cross multiply
    418.40x = 627.84 × 397.29
  4. Step 4: Simplify right side
    418.40x = 249,434.55
  5. Step 5: Solve for x
    x = 249,434.55/418.40
  6. Step 6: Final answer
    x = 596.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.