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Finding the Fourth Proportional to 647.28, 892.49 and 414

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Solution

The fourth proportional to 647.28, 892.49 and 414 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.28 : 892.49 = 414 : x
  2. Step 2: Convert to fraction form
    647.28/892.49 = 414/x
  3. Step 3: Cross multiply
    647.28x = 892.49 × 414
  4. Step 4: Simplify right side
    647.28x = 369,488.79
  5. Step 5: Solve for x
    x = 369,488.79/647.28
  6. Step 6: Final answer
    x = 570.83

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Why These Related Problems?

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