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Finding the Fourth Proportional to 646.94, 892.47 and 410.82

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Solution

The fourth proportional to 646.94, 892.47 and 410.82 is: 566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.94 : 892.47 = 410.82 : x
  2. Step 2: Convert to fraction form
    646.94/892.47 = 410.82/x
  3. Step 3: Cross multiply
    646.94x = 892.47 × 410.82
  4. Step 4: Simplify right side
    646.94x = 366,644.53
  5. Step 5: Solve for x
    x = 366,644.53/646.94
  6. Step 6: Final answer
    x = 566.74

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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.