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Finding the Fourth Proportional to 541.46, 810.97 and 418.75

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Solution

The fourth proportional to 541.46, 810.97 and 418.75 is: 627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 810.97 = 418.75 : x
  2. Step 2: Convert to fraction form
    541.46/810.97 = 418.75/x
  3. Step 3: Cross multiply
    541.46x = 810.97 × 418.75
  4. Step 4: Simplify right side
    541.46x = 339,590.61
  5. Step 5: Solve for x
    x = 339,590.61/541.46
  6. Step 6: Final answer
    x = 627.17

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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.