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Finding the Fourth Proportional to 418.35, 627.18 and 288

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Solution

The fourth proportional to 418.35, 627.18 and 288 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.35 : 627.18 = 288 : x
  2. Step 2: Convert to fraction form
    418.35/627.18 = 288/x
  3. Step 3: Cross multiply
    418.35x = 627.18 × 288
  4. Step 4: Simplify right side
    418.35x = 180,627.84
  5. Step 5: Solve for x
    x = 180,627.84/418.35
  6. Step 6: Final answer
    x = 431.76

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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.