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Finding the Fourth Proportional to 547.07, 754.95 and 314.20

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Solution

The fourth proportional to 547.07, 754.95 and 314.20 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.07 : 754.95 = 314.20 : x
  2. Step 2: Convert to fraction form
    547.07/754.95 = 314.20/x
  3. Step 3: Cross multiply
    547.07x = 754.95 × 314.20
  4. Step 4: Simplify right side
    547.07x = 237,201.52
  5. Step 5: Solve for x
    x = 237,201.52/547.07
  6. Step 6: Final answer
    x = 433.59

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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.