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Finding the Fourth Proportional to 646.60, 969.24 and 414.82

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Solution

The fourth proportional to 646.60, 969.24 and 414.82 is: 621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 969.24 = 414.82 : x
  2. Step 2: Convert to fraction form
    646.60/969.24 = 414.82/x
  3. Step 3: Cross multiply
    646.60x = 969.24 × 414.82
  4. Step 4: Simplify right side
    646.60x = 402,060.14
  5. Step 5: Solve for x
    x = 402,060.14/646.60
  6. Step 6: Final answer
    x = 621.81

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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.