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Finding the Fourth Proportional to 596.52, 890.37 and 520.14

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Solution

The fourth proportional to 596.52, 890.37 and 520.14 is: 776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 890.37 = 520.14 : x
  2. Step 2: Convert to fraction form
    596.52/890.37 = 520.14/x
  3. Step 3: Cross multiply
    596.52x = 890.37 × 520.14
  4. Step 4: Simplify right side
    596.52x = 463,117.05
  5. Step 5: Solve for x
    x = 463,117.05/596.52
  6. Step 6: Final answer
    x = 776.36

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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.