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Finding the Fourth Proportional to 523.30, 785.15 and 515.10

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Solution

The fourth proportional to 523.30, 785.15 and 515.10 is: 772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.30 : 785.15 = 515.10 : x
  2. Step 2: Convert to fraction form
    523.30/785.15 = 515.10/x
  3. Step 3: Cross multiply
    523.30x = 785.15 × 515.10
  4. Step 4: Simplify right side
    523.30x = 404,430.77
  5. Step 5: Solve for x
    x = 404,430.77/523.30
  6. Step 6: Final answer
    x = 772.85

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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.