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Finding the Fourth Proportional to 646.24, 969.14 and 280.66

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Solution

The fourth proportional to 646.24, 969.14 and 280.66 is: 420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.24 : 969.14 = 280.66 : x
  2. Step 2: Convert to fraction form
    646.24/969.14 = 280.66/x
  3. Step 3: Cross multiply
    646.24x = 969.14 × 280.66
  4. Step 4: Simplify right side
    646.24x = 271,998.83
  5. Step 5: Solve for x
    x = 271,998.83/646.24
  6. Step 6: Final answer
    x = 420.89

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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.