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Finding the Fourth Proportional to 611.54, 843.12 and 506.24

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Solution

The fourth proportional to 611.54, 843.12 and 506.24 is: 697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.54 : 843.12 = 506.24 : x
  2. Step 2: Convert to fraction form
    611.54/843.12 = 506.24/x
  3. Step 3: Cross multiply
    611.54x = 843.12 × 506.24
  4. Step 4: Simplify right side
    611.54x = 426,821.07
  5. Step 5: Solve for x
    x = 426,821.07/611.54
  6. Step 6: Final answer
    x = 697.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.