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Finding the Fourth Proportional to 685.05, 946.06 and 436.49

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Solution

The fourth proportional to 685.05, 946.06 and 436.49 is: 602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.05 : 946.06 = 436.49 : x
  2. Step 2: Convert to fraction form
    685.05/946.06 = 436.49/x
  3. Step 3: Cross multiply
    685.05x = 946.06 × 436.49
  4. Step 4: Simplify right side
    685.05x = 412,941.00
  5. Step 5: Solve for x
    x = 412,941.00/685.05
  6. Step 6: Final answer
    x = 602.79

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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.