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Finding the Fourth Proportional to 520.86, 780.75 and 212.55

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Solution

The fourth proportional to 520.86, 780.75 and 212.55 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.86 : 780.75 = 212.55 : x
  2. Step 2: Convert to fraction form
    520.86/780.75 = 212.55/x
  3. Step 3: Cross multiply
    520.86x = 780.75 × 212.55
  4. Step 4: Simplify right side
    520.86x = 165,948.41
  5. Step 5: Solve for x
    x = 165,948.41/520.86
  6. Step 6: Final answer
    x = 318.60

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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.