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Finding the Fourth Proportional to 547.93, 755.62 and 416.71

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Solution

The fourth proportional to 547.93, 755.62 and 416.71 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.93 : 755.62 = 416.71 : x
  2. Step 2: Convert to fraction form
    547.93/755.62 = 416.71/x
  3. Step 3: Cross multiply
    547.93x = 755.62 × 416.71
  4. Step 4: Simplify right side
    547.93x = 314,874.41
  5. Step 5: Solve for x
    x = 314,874.41/547.93
  6. Step 6: Final answer
    x = 574.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.