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Finding the Fourth Proportional to 551.91, 762.11 and 412.19

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Solution

The fourth proportional to 551.91, 762.11 and 412.19 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.91 : 762.11 = 412.19 : x
  2. Step 2: Convert to fraction form
    551.91/762.11 = 412.19/x
  3. Step 3: Cross multiply
    551.91x = 762.11 × 412.19
  4. Step 4: Simplify right side
    551.91x = 314,132.65
  5. Step 5: Solve for x
    x = 314,132.65/551.91
  6. Step 6: Final answer
    x = 569.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.