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Finding the Fourth Proportional to 504.09, 755.89 and 211.50

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Solution

The fourth proportional to 504.09, 755.89 and 211.50 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.09 : 755.89 = 211.50 : x
  2. Step 2: Convert to fraction form
    504.09/755.89 = 211.50/x
  3. Step 3: Cross multiply
    504.09x = 755.89 × 211.50
  4. Step 4: Simplify right side
    504.09x = 159,870.21
  5. Step 5: Solve for x
    x = 159,870.21/504.09
  6. Step 6: Final answer
    x = 317.15

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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.