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Finding the Fourth Proportional to 504.42, 756.42 and 196.11

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Solution

The fourth proportional to 504.42, 756.42 and 196.11 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.42 : 756.42 = 196.11 : x
  2. Step 2: Convert to fraction form
    504.42/756.42 = 196.11/x
  3. Step 3: Cross multiply
    504.42x = 756.42 × 196.11
  4. Step 4: Simplify right side
    504.42x = 148,341.53
  5. Step 5: Solve for x
    x = 148,341.53/504.42
  6. Step 6: Final answer
    x = 294.08

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