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Finding the Fourth Proportional to 684.16, 943.90 and 389.35

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Solution

The fourth proportional to 684.16, 943.90 and 389.35 is: 537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 943.90 = 389.35 : x
  2. Step 2: Convert to fraction form
    684.16/943.90 = 389.35/x
  3. Step 3: Cross multiply
    684.16x = 943.90 × 389.35
  4. Step 4: Simplify right side
    684.16x = 367,509.86
  5. Step 5: Solve for x
    x = 367,509.86/684.16
  6. Step 6: Final answer
    x = 537.17

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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.