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Finding the Fourth Proportional to 596.28, 894.62 and 538.77

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Solution

The fourth proportional to 596.28, 894.62 and 538.77 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 894.62 = 538.77 : x
  2. Step 2: Convert to fraction form
    596.28/894.62 = 538.77/x
  3. Step 3: Cross multiply
    596.28x = 894.62 × 538.77
  4. Step 4: Simplify right side
    596.28x = 481,994.42
  5. Step 5: Solve for x
    x = 481,994.42/596.28
  6. Step 6: Final answer
    x = 808.34

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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.