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Finding the Fourth Proportional to 646.14, 969.33 and 280.94

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Solution

The fourth proportional to 646.14, 969.33 and 280.94 is: 421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.14 : 969.33 = 280.94 : x
  2. Step 2: Convert to fraction form
    646.14/969.33 = 280.94/x
  3. Step 3: Cross multiply
    646.14x = 969.33 × 280.94
  4. Step 4: Simplify right side
    646.14x = 272,319.78
  5. Step 5: Solve for x
    x = 272,319.78/646.14
  6. Step 6: Final answer
    x = 421.45

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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.