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Finding the Fourth Proportional to 646.85, 969.77 and 440.91

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Solution

The fourth proportional to 646.85, 969.77 and 440.91 is: 661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.85 : 969.77 = 440.91 : x
  2. Step 2: Convert to fraction form
    646.85/969.77 = 440.91/x
  3. Step 3: Cross multiply
    646.85x = 969.77 × 440.91
  4. Step 4: Simplify right side
    646.85x = 427,582.39
  5. Step 5: Solve for x
    x = 427,582.39/646.85
  6. Step 6: Final answer
    x = 661.02

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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.