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Finding the Fourth Proportional to 646.52, 969.44 and 281.14

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Solution

The fourth proportional to 646.52, 969.44 and 281.14 is: 421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.52 : 969.44 = 281.14 : x
  2. Step 2: Convert to fraction form
    646.52/969.44 = 281.14/x
  3. Step 3: Cross multiply
    646.52x = 969.44 × 281.14
  4. Step 4: Simplify right side
    646.52x = 272,548.36
  5. Step 5: Solve for x
    x = 272,548.36/646.52
  6. Step 6: Final answer
    x = 421.56

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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.