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Finding the Fourth Proportional to 685.17, 945.57 and 390.49

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Solution

The fourth proportional to 685.17, 945.57 and 390.49 is: 538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.17 : 945.57 = 390.49 : x
  2. Step 2: Convert to fraction form
    685.17/945.57 = 390.49/x
  3. Step 3: Cross multiply
    685.17x = 945.57 × 390.49
  4. Step 4: Simplify right side
    685.17x = 369,235.63
  5. Step 5: Solve for x
    x = 369,235.63/685.17
  6. Step 6: Final answer
    x = 538.90

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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.