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Finding the Fourth Proportional to 520.67, 779.97 and 390.81

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Solution

The fourth proportional to 520.67, 779.97 and 390.81 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.67 : 779.97 = 390.81 : x
  2. Step 2: Convert to fraction form
    520.67/779.97 = 390.81/x
  3. Step 3: Cross multiply
    520.67x = 779.97 × 390.81
  4. Step 4: Simplify right side
    520.67x = 304,823.09
  5. Step 5: Solve for x
    x = 304,823.09/520.67
  6. Step 6: Final answer
    x = 585.45

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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.