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Finding the Fourth Proportional to 646.84, 969.54 and 464.59

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Solution

The fourth proportional to 646.84, 969.54 and 464.59 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.84 : 969.54 = 464.59 : x
  2. Step 2: Convert to fraction form
    646.84/969.54 = 464.59/x
  3. Step 3: Cross multiply
    646.84x = 969.54 × 464.59
  4. Step 4: Simplify right side
    646.84x = 450,438.59
  5. Step 5: Solve for x
    x = 450,438.59/646.84
  6. Step 6: Final answer
    x = 696.37

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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.