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Finding the Fourth Proportional to 646.10, 968.49 and 414.32

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Solution

The fourth proportional to 646.10, 968.49 and 414.32 is: 621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.10 : 968.49 = 414.32 : x
  2. Step 2: Convert to fraction form
    646.10/968.49 = 414.32/x
  3. Step 3: Cross multiply
    646.10x = 968.49 × 414.32
  4. Step 4: Simplify right side
    646.10x = 401,264.78
  5. Step 5: Solve for x
    x = 401,264.78/646.10
  6. Step 6: Final answer
    x = 621.06

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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.