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Finding the Fourth Proportional to 596.27, 894.93 and 499.37

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Solution

The fourth proportional to 596.27, 894.93 and 499.37 is: 749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.27 : 894.93 = 499.37 : x
  2. Step 2: Convert to fraction form
    596.27/894.93 = 499.37/x
  3. Step 3: Cross multiply
    596.27x = 894.93 × 499.37
  4. Step 4: Simplify right side
    596.27x = 446,901.19
  5. Step 5: Solve for x
    x = 446,901.19/596.27
  6. Step 6: Final answer
    x = 749.49

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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.