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Finding the Fourth Proportional to 596.71, 894.81 and 322.73

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Solution

The fourth proportional to 596.71, 894.81 and 322.73 is: 483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.71 : 894.81 = 322.73 : x
  2. Step 2: Convert to fraction form
    596.71/894.81 = 322.73/x
  3. Step 3: Cross multiply
    596.71x = 894.81 × 322.73
  4. Step 4: Simplify right side
    596.71x = 288,782.12
  5. Step 5: Solve for x
    x = 288,782.12/596.71
  6. Step 6: Final answer
    x = 483.96

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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.