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Finding the Fourth Proportional to 684.86, 945.07 and 390.08

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Solution

The fourth proportional to 684.86, 945.07 and 390.08 is: 538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.86 : 945.07 = 390.08 : x
  2. Step 2: Convert to fraction form
    684.86/945.07 = 390.08/x
  3. Step 3: Cross multiply
    684.86x = 945.07 × 390.08
  4. Step 4: Simplify right side
    684.86x = 368,654.29
  5. Step 5: Solve for x
    x = 368,654.29/684.86
  6. Step 6: Final answer
    x = 538.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.