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Finding the Fourth Proportional to 646.61, 892.22 and 436.46

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Solution

The fourth proportional to 646.61, 892.22 and 436.46 is: 602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 892.22 = 436.46 : x
  2. Step 2: Convert to fraction form
    646.61/892.22 = 436.46/x
  3. Step 3: Cross multiply
    646.61x = 892.22 × 436.46
  4. Step 4: Simplify right side
    646.61x = 389,411.70
  5. Step 5: Solve for x
    x = 389,411.70/646.61
  6. Step 6: Final answer
    x = 602.24

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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.