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Finding the Fourth Proportional to 504.93, 757 and 196.74

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Solution

The fourth proportional to 504.93, 757 and 196.74 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 757 = 196.74 : x
  2. Step 2: Convert to fraction form
    504.93/757 = 196.74/x
  3. Step 3: Cross multiply
    504.93x = 757 × 196.74
  4. Step 4: Simplify right side
    504.93x = 148,932.18
  5. Step 5: Solve for x
    x = 148,932.18/504.93
  6. Step 6: Final answer
    x = 294.96

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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.