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Finding the Fourth Proportional to 614.50, 842.58 and 596.27

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Solution

The fourth proportional to 614.50, 842.58 and 596.27 is: 817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.50 : 842.58 = 596.27 : x
  2. Step 2: Convert to fraction form
    614.50/842.58 = 596.27/x
  3. Step 3: Cross multiply
    614.50x = 842.58 × 596.27
  4. Step 4: Simplify right side
    614.50x = 502,405.18
  5. Step 5: Solve for x
    x = 502,405.18/614.50
  6. Step 6: Final answer
    x = 817.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.