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Finding the Fourth Proportional to 685.36, 945.74 and 390.69

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Solution

The fourth proportional to 685.36, 945.74 and 390.69 is: 539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.36 : 945.74 = 390.69 : x
  2. Step 2: Convert to fraction form
    685.36/945.74 = 390.69/x
  3. Step 3: Cross multiply
    685.36x = 945.74 × 390.69
  4. Step 4: Simplify right side
    685.36x = 369,492.14
  5. Step 5: Solve for x
    x = 369,492.14/685.36
  6. Step 6: Final answer
    x = 539.12

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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.