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Finding the Fourth Proportional to 504.24, 756.01 and 196.01

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Solution

The fourth proportional to 504.24, 756.01 and 196.01 is: 293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 756.01 = 196.01 : x
  2. Step 2: Convert to fraction form
    504.24/756.01 = 196.01/x
  3. Step 3: Cross multiply
    504.24x = 756.01 × 196.01
  4. Step 4: Simplify right side
    504.24x = 148,185.52
  5. Step 5: Solve for x
    x = 148,185.52/504.24
  6. Step 6: Final answer
    x = 293.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.