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Finding the Fourth Proportional to 520.19, 780.52 and 276.66

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Solution

The fourth proportional to 520.19, 780.52 and 276.66 is: 415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.19 : 780.52 = 276.66 : x
  2. Step 2: Convert to fraction form
    520.19/780.52 = 276.66/x
  3. Step 3: Cross multiply
    520.19x = 780.52 × 276.66
  4. Step 4: Simplify right side
    520.19x = 215,937.97
  5. Step 5: Solve for x
    x = 215,937.97/520.19
  6. Step 6: Final answer
    x = 415.11

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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.