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Finding the Fourth Proportional to 556.87, 834.78 and 322.18

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Solution

The fourth proportional to 556.87, 834.78 and 322.18 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.87 : 834.78 = 322.18 : x
  2. Step 2: Convert to fraction form
    556.87/834.78 = 322.18/x
  3. Step 3: Cross multiply
    556.87x = 834.78 × 322.18
  4. Step 4: Simplify right side
    556.87x = 268,949.42
  5. Step 5: Solve for x
    x = 268,949.42/556.87
  6. Step 6: Final answer
    x = 482.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.