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Finding the Fourth Proportional to 646.60, 891.75 and 436.72

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Solution

The fourth proportional to 646.60, 891.75 and 436.72 is: 602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 891.75 = 436.72 : x
  2. Step 2: Convert to fraction form
    646.60/891.75 = 436.72/x
  3. Step 3: Cross multiply
    646.60x = 891.75 × 436.72
  4. Step 4: Simplify right side
    646.60x = 389,444.47
  5. Step 5: Solve for x
    x = 389,444.47/646.60
  6. Step 6: Final answer
    x = 602.30

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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.