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Finding the Fourth Proportional to 646.53, 969.11 and 464.74

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Solution

The fourth proportional to 646.53, 969.11 and 464.74 is: 696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.53 : 969.11 = 464.74 : x
  2. Step 2: Convert to fraction form
    646.53/969.11 = 464.74/x
  3. Step 3: Cross multiply
    646.53x = 969.11 × 464.74
  4. Step 4: Simplify right side
    646.53x = 450,383.79
  5. Step 5: Solve for x
    x = 450,383.79/646.53
  6. Step 6: Final answer
    x = 696.61

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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.