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Finding the Fourth Proportional to 684.32, 944.66 and 475.20

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Solution

The fourth proportional to 684.32, 944.66 and 475.20 is: 655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.32 : 944.66 = 475.20 : x
  2. Step 2: Convert to fraction form
    684.32/944.66 = 475.20/x
  3. Step 3: Cross multiply
    684.32x = 944.66 × 475.20
  4. Step 4: Simplify right side
    684.32x = 448,903.62
  5. Step 5: Solve for x
    x = 448,903.62/684.32
  6. Step 6: Final answer
    x = 655.99

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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.