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Finding the Fourth Proportional to 646.64, 892.07 and 436.75

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Solution

The fourth proportional to 646.64, 892.07 and 436.75 is: 602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.64 : 892.07 = 436.75 : x
  2. Step 2: Convert to fraction form
    646.64/892.07 = 436.75/x
  3. Step 3: Cross multiply
    646.64x = 892.07 × 436.75
  4. Step 4: Simplify right side
    646.64x = 389,604.93
  5. Step 5: Solve for x
    x = 389,604.93/646.64
  6. Step 6: Final answer
    x = 602.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.