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Finding the Fourth Proportional to 646.41, 891.50 and 436.53

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Solution

The fourth proportional to 646.41, 891.50 and 436.53 is: 602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.41 : 891.50 = 436.53 : x
  2. Step 2: Convert to fraction form
    646.41/891.50 = 436.53/x
  3. Step 3: Cross multiply
    646.41x = 891.50 × 436.53
  4. Step 4: Simplify right side
    646.41x = 389,164.31
  5. Step 5: Solve for x
    x = 389,164.31/646.41
  6. Step 6: Final answer
    x = 602.04

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