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Finding the Fourth Proportional to 646.97, 893.40 and 470.94

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Solution

The fourth proportional to 646.97, 893.40 and 470.94 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.97 : 893.40 = 470.94 : x
  2. Step 2: Convert to fraction form
    646.97/893.40 = 470.94/x
  3. Step 3: Cross multiply
    646.97x = 893.40 × 470.94
  4. Step 4: Simplify right side
    646.97x = 420,732.68
  5. Step 5: Solve for x
    x = 420,732.68/646.97
  6. Step 6: Final answer
    x = 650.32

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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.