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Finding the Fourth Proportional to 685.02, 945.32 and 390.23

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Solution

The fourth proportional to 685.02, 945.32 and 390.23 is: 538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.02 : 945.32 = 390.23 : x
  2. Step 2: Convert to fraction form
    685.02/945.32 = 390.23/x
  3. Step 3: Cross multiply
    685.02x = 945.32 × 390.23
  4. Step 4: Simplify right side
    685.02x = 368,892.22
  5. Step 5: Solve for x
    x = 368,892.22/685.02
  6. Step 6: Final answer
    x = 538.51

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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.