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Finding the Fourth Proportional to 547.16, 754.83 and 314.28

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Solution

The fourth proportional to 547.16, 754.83 and 314.28 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 754.83 = 314.28 : x
  2. Step 2: Convert to fraction form
    547.16/754.83 = 314.28/x
  3. Step 3: Cross multiply
    547.16x = 754.83 × 314.28
  4. Step 4: Simplify right side
    547.16x = 237,227.97
  5. Step 5: Solve for x
    x = 237,227.97/547.16
  6. Step 6: Final answer
    x = 433.57

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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.