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Finding the Fourth Proportional to 544.98, 751.78 and 524.01

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Solution

The fourth proportional to 544.98, 751.78 and 524.01 is: 722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.98 : 751.78 = 524.01 : x
  2. Step 2: Convert to fraction form
    544.98/751.78 = 524.01/x
  3. Step 3: Cross multiply
    544.98x = 751.78 × 524.01
  4. Step 4: Simplify right side
    544.98x = 393,940.24
  5. Step 5: Solve for x
    x = 393,940.24/544.98
  6. Step 6: Final answer
    x = 722.85

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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.