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Finding the Fourth Proportional to 426.96, 639.64 and 365.45

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Solution

The fourth proportional to 426.96, 639.64 and 365.45 is: 547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 639.64 = 365.45 : x
  2. Step 2: Convert to fraction form
    426.96/639.64 = 365.45/x
  3. Step 3: Cross multiply
    426.96x = 639.64 × 365.45
  4. Step 4: Simplify right side
    426.96x = 233,756.44
  5. Step 5: Solve for x
    x = 233,756.44/426.96
  6. Step 6: Final answer
    x = 547.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.