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Finding the Fourth Proportional to 547.02, 754.36 and 422.95

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Solution

The fourth proportional to 547.02, 754.36 and 422.95 is: 583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 754.36 = 422.95 : x
  2. Step 2: Convert to fraction form
    547.02/754.36 = 422.95/x
  3. Step 3: Cross multiply
    547.02x = 754.36 × 422.95
  4. Step 4: Simplify right side
    547.02x = 319,056.56
  5. Step 5: Solve for x
    x = 319,056.56/547.02
  6. Step 6: Final answer
    x = 583.26

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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.