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Finding the Fourth Proportional to 646.24, 969.36 and 463.72

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Solution

The fourth proportional to 646.24, 969.36 and 463.72 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.24 : 969.36 = 463.72 : x
  2. Step 2: Convert to fraction form
    646.24/969.36 = 463.72/x
  3. Step 3: Cross multiply
    646.24x = 969.36 × 463.72
  4. Step 4: Simplify right side
    646.24x = 449,511.62
  5. Step 5: Solve for x
    x = 449,511.62/646.24
  6. Step 6: Final answer
    x = 695.58

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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.