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Finding the Fourth Proportional to 684.88, 945.16 and 390.14

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Solution

The fourth proportional to 684.88, 945.16 and 390.14 is: 538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 945.16 = 390.14 : x
  2. Step 2: Convert to fraction form
    684.88/945.16 = 390.14/x
  3. Step 3: Cross multiply
    684.88x = 945.16 × 390.14
  4. Step 4: Simplify right side
    684.88x = 368,744.72
  5. Step 5: Solve for x
    x = 368,744.72/684.88
  6. Step 6: Final answer
    x = 538.41

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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.