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Finding the Fourth Proportional to 646.22, 969.78 and 402.92

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Solution

The fourth proportional to 646.22, 969.78 and 402.92 is: 604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.22 : 969.78 = 402.92 : x
  2. Step 2: Convert to fraction form
    646.22/969.78 = 402.92/x
  3. Step 3: Cross multiply
    646.22x = 969.78 × 402.92
  4. Step 4: Simplify right side
    646.22x = 390,743.76
  5. Step 5: Solve for x
    x = 390,743.76/646.22
  6. Step 6: Final answer
    x = 604.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.