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Finding the Fourth Proportional to 504.10, 756.26 and 211.43

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Solution

The fourth proportional to 504.10, 756.26 and 211.43 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 756.26 = 211.43 : x
  2. Step 2: Convert to fraction form
    504.10/756.26 = 211.43/x
  3. Step 3: Cross multiply
    504.10x = 756.26 × 211.43
  4. Step 4: Simplify right side
    504.10x = 159,898.47
  5. Step 5: Solve for x
    x = 159,898.47/504.10
  6. Step 6: Final answer
    x = 317.20

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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.