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Finding the Fourth Proportional to 547.68, 754.95 and 506.64

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Solution

The fourth proportional to 547.68, 754.95 and 506.64 is: 698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.68 : 754.95 = 506.64 : x
  2. Step 2: Convert to fraction form
    547.68/754.95 = 506.64/x
  3. Step 3: Cross multiply
    547.68x = 754.95 × 506.64
  4. Step 4: Simplify right side
    547.68x = 382,487.87
  5. Step 5: Solve for x
    x = 382,487.87/547.68
  6. Step 6: Final answer
    x = 698.38

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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.