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Finding the Fourth Proportional to 685.47, 946.07 and 436.92

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Solution

The fourth proportional to 685.47, 946.07 and 436.92 is: 603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.47 : 946.07 = 436.92 : x
  2. Step 2: Convert to fraction form
    685.47/946.07 = 436.92/x
  3. Step 3: Cross multiply
    685.47x = 946.07 × 436.92
  4. Step 4: Simplify right side
    685.47x = 413,356.90
  5. Step 5: Solve for x
    x = 413,356.90/685.47
  6. Step 6: Final answer
    x = 603.03

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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.