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Finding the Fourth Proportional to 520.36, 780.62 and 212.40

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Solution

The fourth proportional to 520.36, 780.62 and 212.40 is: 318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 780.62 = 212.40 : x
  2. Step 2: Convert to fraction form
    520.36/780.62 = 212.40/x
  3. Step 3: Cross multiply
    520.36x = 780.62 × 212.40
  4. Step 4: Simplify right side
    520.36x = 165,803.69
  5. Step 5: Solve for x
    x = 165,803.69/520.36
  6. Step 6: Final answer
    x = 318.63

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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.