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Finding the Fourth Proportional to 646.69, 892.53 and 447.83

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Solution

The fourth proportional to 646.69, 892.53 and 447.83 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.69 : 892.53 = 447.83 : x
  2. Step 2: Convert to fraction form
    646.69/892.53 = 447.83/x
  3. Step 3: Cross multiply
    646.69x = 892.53 × 447.83
  4. Step 4: Simplify right side
    646.69x = 399,699.47
  5. Step 5: Solve for x
    x = 399,699.47/646.69
  6. Step 6: Final answer
    x = 618.07

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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.