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Finding the Fourth Proportional to 646.41, 968.04 and 414.57

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Solution

The fourth proportional to 646.41, 968.04 and 414.57 is: 620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.41 : 968.04 = 414.57 : x
  2. Step 2: Convert to fraction form
    646.41/968.04 = 414.57/x
  3. Step 3: Cross multiply
    646.41x = 968.04 × 414.57
  4. Step 4: Simplify right side
    646.41x = 401,320.34
  5. Step 5: Solve for x
    x = 401,320.34/646.41
  6. Step 6: Final answer
    x = 620.84

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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.