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Finding the Fourth Proportional to 646.93, 969.27 and 463.42

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Solution

The fourth proportional to 646.93, 969.27 and 463.42 is: 694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.93 : 969.27 = 463.42 : x
  2. Step 2: Convert to fraction form
    646.93/969.27 = 463.42/x
  3. Step 3: Cross multiply
    646.93x = 969.27 × 463.42
  4. Step 4: Simplify right side
    646.93x = 449,179.10
  5. Step 5: Solve for x
    x = 449,179.10/646.93
  6. Step 6: Final answer
    x = 694.32

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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.