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Finding the Fourth Proportional to 504.66, 756.63 and 196.25

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Solution

The fourth proportional to 504.66, 756.63 and 196.25 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 756.63 = 196.25 : x
  2. Step 2: Convert to fraction form
    504.66/756.63 = 196.25/x
  3. Step 3: Cross multiply
    504.66x = 756.63 × 196.25
  4. Step 4: Simplify right side
    504.66x = 148,488.64
  5. Step 5: Solve for x
    x = 148,488.64/504.66
  6. Step 6: Final answer
    x = 294.24

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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.