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Finding the Fourth Proportional to 504.34, 756.55 and 196.06

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Solution

The fourth proportional to 504.34, 756.55 and 196.06 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.34 : 756.55 = 196.06 : x
  2. Step 2: Convert to fraction form
    504.34/756.55 = 196.06/x
  3. Step 3: Cross multiply
    504.34x = 756.55 × 196.06
  4. Step 4: Simplify right side
    504.34x = 148,329.19
  5. Step 5: Solve for x
    x = 148,329.19/504.34
  6. Step 6: Final answer
    x = 294.11

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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.