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Finding the Fourth Proportional to 520.24, 780.69 and 212.08

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Solution

The fourth proportional to 520.24, 780.69 and 212.08 is: 318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 780.69 = 212.08 : x
  2. Step 2: Convert to fraction form
    520.24/780.69 = 212.08/x
  3. Step 3: Cross multiply
    520.24x = 780.69 × 212.08
  4. Step 4: Simplify right side
    520.24x = 165,568.74
  5. Step 5: Solve for x
    x = 165,568.74/520.24
  6. Step 6: Final answer
    x = 318.25

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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.