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Finding the Fourth Proportional to 547.41, 755.06 and 416.19

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Solution

The fourth proportional to 547.41, 755.06 and 416.19 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.41 : 755.06 = 416.19 : x
  2. Step 2: Convert to fraction form
    547.41/755.06 = 416.19/x
  3. Step 3: Cross multiply
    547.41x = 755.06 × 416.19
  4. Step 4: Simplify right side
    547.41x = 314,246.34
  5. Step 5: Solve for x
    x = 314,246.34/547.41
  6. Step 6: Final answer
    x = 574.06

Related Problems

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Why These Related Problems?

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