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Finding the Fourth Proportional to 647, 892.86 and 414.08

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Solution

The fourth proportional to 647, 892.86 and 414.08 is: 571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 892.86 = 414.08 : x
  2. Step 2: Convert to fraction form
    647/892.86 = 414.08/x
  3. Step 3: Cross multiply
    647x = 892.86 × 414.08
  4. Step 4: Simplify right side
    647x = 369,715.47
  5. Step 5: Solve for x
    x = 369,715.47/647
  6. Step 6: Final answer
    x = 571.43

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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.