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Finding the Fourth Proportional to 523.70, 785.16 and 360.92

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Solution

The fourth proportional to 523.70, 785.16 and 360.92 is: 541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.70 : 785.16 = 360.92 : x
  2. Step 2: Convert to fraction form
    523.70/785.16 = 360.92/x
  3. Step 3: Cross multiply
    523.70x = 785.16 × 360.92
  4. Step 4: Simplify right side
    523.70x = 283,379.95
  5. Step 5: Solve for x
    x = 283,379.95/523.70
  6. Step 6: Final answer
    x = 541.11

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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.