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Finding the Fourth Proportional to 927.36, 1,391.40 and 414

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Solution

The fourth proportional to 927.36, 1,391.40 and 414 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.36 : 1,391.40 = 414 : x
  2. Step 2: Convert to fraction form
    927.36/1,391.40 = 414/x
  3. Step 3: Cross multiply
    927.36x = 1,391.40 × 414
  4. Step 4: Simplify right side
    927.36x = 576,039.60
  5. Step 5: Solve for x
    x = 576,039.60/927.36
  6. Step 6: Final answer
    x = 621.16

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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.