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Finding the Fourth Proportional to 596.87, 893.63 and 322.13

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Solution

The fourth proportional to 596.87, 893.63 and 322.13 is: 482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 893.63 = 322.13 : x
  2. Step 2: Convert to fraction form
    596.87/893.63 = 322.13/x
  3. Step 3: Cross multiply
    596.87x = 893.63 × 322.13
  4. Step 4: Simplify right side
    596.87x = 287,863.04
  5. Step 5: Solve for x
    x = 287,863.04/596.87
  6. Step 6: Final answer
    x = 482.29

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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.