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Finding the Fourth Proportional to 547.02, 754.08 and 415.80

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Solution

The fourth proportional to 547.02, 754.08 and 415.80 is: 573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 754.08 = 415.80 : x
  2. Step 2: Convert to fraction form
    547.02/754.08 = 415.80/x
  3. Step 3: Cross multiply
    547.02x = 754.08 × 415.80
  4. Step 4: Simplify right side
    547.02x = 313,546.46
  5. Step 5: Solve for x
    x = 313,546.46/547.02
  6. Step 6: Final answer
    x = 573.19

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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.