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Finding the Fourth Proportional to 646.42, 891.58 and 436.49

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Solution

The fourth proportional to 646.42, 891.58 and 436.49 is: 602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 891.58 = 436.49 : x
  2. Step 2: Convert to fraction form
    646.42/891.58 = 436.49/x
  3. Step 3: Cross multiply
    646.42x = 891.58 × 436.49
  4. Step 4: Simplify right side
    646.42x = 389,163.57
  5. Step 5: Solve for x
    x = 389,163.57/646.42
  6. Step 6: Final answer
    x = 602.03

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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.