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Finding the Fourth Proportional to 646.03, 969.22 and 415.03

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Solution

The fourth proportional to 646.03, 969.22 and 415.03 is: 622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.03 : 969.22 = 415.03 : x
  2. Step 2: Convert to fraction form
    646.03/969.22 = 415.03/x
  3. Step 3: Cross multiply
    646.03x = 969.22 × 415.03
  4. Step 4: Simplify right side
    646.03x = 402,251.92
  5. Step 5: Solve for x
    x = 402,251.92/646.03
  6. Step 6: Final answer
    x = 622.65

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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.