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Finding the Fourth Proportional to 438.14, 604.58 and 321.50

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Solution

The fourth proportional to 438.14, 604.58 and 321.50 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 604.58 = 321.50 : x
  2. Step 2: Convert to fraction form
    438.14/604.58 = 321.50/x
  3. Step 3: Cross multiply
    438.14x = 604.58 × 321.50
  4. Step 4: Simplify right side
    438.14x = 194,372.47
  5. Step 5: Solve for x
    x = 194,372.47/438.14
  6. Step 6: Final answer
    x = 443.63

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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.