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Finding the Fourth Proportional to 685.06, 945.48 and 436.30

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Solution

The fourth proportional to 685.06, 945.48 and 436.30 is: 602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.06 : 945.48 = 436.30 : x
  2. Step 2: Convert to fraction form
    685.06/945.48 = 436.30/x
  3. Step 3: Cross multiply
    685.06x = 945.48 × 436.30
  4. Step 4: Simplify right side
    685.06x = 412,512.92
  5. Step 5: Solve for x
    x = 412,512.92/685.06
  6. Step 6: Final answer
    x = 602.16

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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.