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Finding the Fourth Proportional to 646.21, 969.77 and 386.05

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Solution

The fourth proportional to 646.21, 969.77 and 386.05 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.21 : 969.77 = 386.05 : x
  2. Step 2: Convert to fraction form
    646.21/969.77 = 386.05/x
  3. Step 3: Cross multiply
    646.21x = 969.77 × 386.05
  4. Step 4: Simplify right side
    646.21x = 374,378.25
  5. Step 5: Solve for x
    x = 374,378.25/646.21
  6. Step 6: Final answer
    x = 579.35

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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.