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Finding the Fourth Proportional to 556.31, 834.49 and 312.65

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Solution

The fourth proportional to 556.31, 834.49 and 312.65 is: 468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 834.49 = 312.65 : x
  2. Step 2: Convert to fraction form
    556.31/834.49 = 312.65/x
  3. Step 3: Cross multiply
    556.31x = 834.49 × 312.65
  4. Step 4: Simplify right side
    556.31x = 260,903.30
  5. Step 5: Solve for x
    x = 260,903.30/556.31
  6. Step 6: Final answer
    x = 468.99

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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.