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Finding the Fourth Proportional to 504.56, 756.56 and 211.72

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Solution

The fourth proportional to 504.56, 756.56 and 211.72 is: 317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 756.56 = 211.72 : x
  2. Step 2: Convert to fraction form
    504.56/756.56 = 211.72/x
  3. Step 3: Cross multiply
    504.56x = 756.56 × 211.72
  4. Step 4: Simplify right side
    504.56x = 160,178.88
  5. Step 5: Solve for x
    x = 160,178.88/504.56
  6. Step 6: Final answer
    x = 317.46

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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.