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Finding the Fourth Proportional to 646.80, 969.12 and 454.08

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Solution

The fourth proportional to 646.80, 969.12 and 454.08 is: 680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.80 : 969.12 = 454.08 : x
  2. Step 2: Convert to fraction form
    646.80/969.12 = 454.08/x
  3. Step 3: Cross multiply
    646.80x = 969.12 × 454.08
  4. Step 4: Simplify right side
    646.80x = 440,058.01
  5. Step 5: Solve for x
    x = 440,058.01/646.80
  6. Step 6: Final answer
    x = 680.36

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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.