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Finding the Fourth Proportional to 596.80, 894.24 and 500.80

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Solution

The fourth proportional to 596.80, 894.24 and 500.80 is: 750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.80 : 894.24 = 500.80 : x
  2. Step 2: Convert to fraction form
    596.80/894.24 = 500.80/x
  3. Step 3: Cross multiply
    596.80x = 894.24 × 500.80
  4. Step 4: Simplify right side
    596.80x = 447,835.39
  5. Step 5: Solve for x
    x = 447,835.39/596.80
  6. Step 6: Final answer
    x = 750.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.