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Finding the Fourth Proportional to 646.49, 969.50 and 354.21

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Solution

The fourth proportional to 646.49, 969.50 and 354.21 is: 531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.49 : 969.50 = 354.21 : x
  2. Step 2: Convert to fraction form
    646.49/969.50 = 354.21/x
  3. Step 3: Cross multiply
    646.49x = 969.50 × 354.21
  4. Step 4: Simplify right side
    646.49x = 343,401.75
  5. Step 5: Solve for x
    x = 343,401.75/646.49
  6. Step 6: Final answer
    x = 531.18

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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.