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Finding the Fourth Proportional to 646.88, 892.69 and 414.14

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Solution

The fourth proportional to 646.88, 892.69 and 414.14 is: 571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 892.69 = 414.14 : x
  2. Step 2: Convert to fraction form
    646.88/892.69 = 414.14/x
  3. Step 3: Cross multiply
    646.88x = 892.69 × 414.14
  4. Step 4: Simplify right side
    646.88x = 369,698.64
  5. Step 5: Solve for x
    x = 369,698.64/646.88
  6. Step 6: Final answer
    x = 571.51

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