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Finding the Fourth Proportional to 426.64, 636.88 and 396.64

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Solution

The fourth proportional to 426.64, 636.88 and 396.64 is: 592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.64 : 636.88 = 396.64 : x
  2. Step 2: Convert to fraction form
    426.64/636.88 = 396.64/x
  3. Step 3: Cross multiply
    426.64x = 636.88 × 396.64
  4. Step 4: Simplify right side
    426.64x = 252,612.08
  5. Step 5: Solve for x
    x = 252,612.08/426.64
  6. Step 6: Final answer
    x = 592.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.