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Finding the Fourth Proportional to 685.18, 946.02 and 436.83

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Solution

The fourth proportional to 685.18, 946.02 and 436.83 is: 603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.18 : 946.02 = 436.83 : x
  2. Step 2: Convert to fraction form
    685.18/946.02 = 436.83/x
  3. Step 3: Cross multiply
    685.18x = 946.02 × 436.83
  4. Step 4: Simplify right side
    685.18x = 413,247.73
  5. Step 5: Solve for x
    x = 413,247.73/685.18
  6. Step 6: Final answer
    x = 603.13

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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.