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Finding the Fourth Proportional to 504.35, 756.37 and 196.18

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Solution

The fourth proportional to 504.35, 756.37 and 196.18 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.35 : 756.37 = 196.18 : x
  2. Step 2: Convert to fraction form
    504.35/756.37 = 196.18/x
  3. Step 3: Cross multiply
    504.35x = 756.37 × 196.18
  4. Step 4: Simplify right side
    504.35x = 148,384.67
  5. Step 5: Solve for x
    x = 148,384.67/504.35
  6. Step 6: Final answer
    x = 294.21

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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.