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Finding the Fourth Proportional to 684.86, 945.05 and 386.04

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Solution

The fourth proportional to 684.86, 945.05 and 386.04 is: 532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.86 : 945.05 = 386.04 : x
  2. Step 2: Convert to fraction form
    684.86/945.05 = 386.04/x
  3. Step 3: Cross multiply
    684.86x = 945.05 × 386.04
  4. Step 4: Simplify right side
    684.86x = 364,825.17
  5. Step 5: Solve for x
    x = 364,825.17/684.86
  6. Step 6: Final answer
    x = 532.70

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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.