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Finding the Fourth Proportional to 439.36, 654.21 and 432.81

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Solution

The fourth proportional to 439.36, 654.21 and 432.81 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.36 : 654.21 = 432.81 : x
  2. Step 2: Convert to fraction form
    439.36/654.21 = 432.81/x
  3. Step 3: Cross multiply
    439.36x = 654.21 × 432.81
  4. Step 4: Simplify right side
    439.36x = 283,148.63
  5. Step 5: Solve for x
    x = 283,148.63/439.36
  6. Step 6: Final answer
    x = 644.46

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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.