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Finding the Fourth Proportional to 613.52, 914.54 and 593.27

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Solution

The fourth proportional to 613.52, 914.54 and 593.27 is: 884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 914.54 = 593.27 : x
  2. Step 2: Convert to fraction form
    613.52/914.54 = 593.27/x
  3. Step 3: Cross multiply
    613.52x = 914.54 × 593.27
  4. Step 4: Simplify right side
    613.52x = 542,569.15
  5. Step 5: Solve for x
    x = 542,569.15/613.52
  6. Step 6: Final answer
    x = 884.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.