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Finding the Fourth Proportional to 905, 1,358.27 and 412.15

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Solution

The fourth proportional to 905, 1,358.27 and 412.15 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    905 : 1,358.27 = 412.15 : x
  2. Step 2: Convert to fraction form
    905/1,358.27 = 412.15/x
  3. Step 3: Cross multiply
    905x = 1,358.27 × 412.15
  4. Step 4: Simplify right side
    905x = 559,808.92
  5. Step 5: Solve for x
    x = 559,808.92/905
  6. Step 6: Final answer
    x = 618.57

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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.