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Finding the Fourth Proportional to 501.15, 751.63 and 212.79

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Solution

The fourth proportional to 501.15, 751.63 and 212.79 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 751.63 = 212.79 : x
  2. Step 2: Convert to fraction form
    501.15/751.63 = 212.79/x
  3. Step 3: Cross multiply
    501.15x = 751.63 × 212.79
  4. Step 4: Simplify right side
    501.15x = 159,939.35
  5. Step 5: Solve for x
    x = 159,939.35/501.15
  6. Step 6: Final answer
    x = 319.14

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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.