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Finding the Fourth Proportional to 684.15, 944.13 and 389.42

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Solution

The fourth proportional to 684.15, 944.13 and 389.42 is: 537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 944.13 = 389.42 : x
  2. Step 2: Convert to fraction form
    684.15/944.13 = 389.42/x
  3. Step 3: Cross multiply
    684.15x = 944.13 × 389.42
  4. Step 4: Simplify right side
    684.15x = 367,658.38
  5. Step 5: Solve for x
    x = 367,658.38/684.15
  6. Step 6: Final answer
    x = 537.39

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Double scale
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1.5x scale

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.