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Finding the Fourth Proportional to 684.19, 944.25 and 389.53

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Solution

The fourth proportional to 684.19, 944.25 and 389.53 is: 537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.19 : 944.25 = 389.53 : x
  2. Step 2: Convert to fraction form
    684.19/944.25 = 389.53/x
  3. Step 3: Cross multiply
    684.19x = 944.25 × 389.53
  4. Step 4: Simplify right side
    684.19x = 367,808.98
  5. Step 5: Solve for x
    x = 367,808.98/684.19
  6. Step 6: Final answer
    x = 537.59

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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.