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Finding the Fourth Proportional to 501.19, 752.09 and 212.63

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Solution

The fourth proportional to 501.19, 752.09 and 212.63 is: 319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.19 : 752.09 = 212.63 : x
  2. Step 2: Convert to fraction form
    501.19/752.09 = 212.63/x
  3. Step 3: Cross multiply
    501.19x = 752.09 × 212.63
  4. Step 4: Simplify right side
    501.19x = 159,912.07
  5. Step 5: Solve for x
    x = 159,912.07/501.19
  6. Step 6: Final answer
    x = 319.07

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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.