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Finding the Fourth Proportional to 646.84, 893.27 and 411.23

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Solution

The fourth proportional to 646.84, 893.27 and 411.23 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.84 : 893.27 = 411.23 : x
  2. Step 2: Convert to fraction form
    646.84/893.27 = 411.23/x
  3. Step 3: Cross multiply
    646.84x = 893.27 × 411.23
  4. Step 4: Simplify right side
    646.84x = 367,339.33
  5. Step 5: Solve for x
    x = 367,339.33/646.84
  6. Step 6: Final answer
    x = 567.90

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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.