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Finding the Fourth Proportional to 431.53, 595.64 and 321.37

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Solution

The fourth proportional to 431.53, 595.64 and 321.37 is: 443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.53 : 595.64 = 321.37 : x
  2. Step 2: Convert to fraction form
    431.53/595.64 = 321.37/x
  3. Step 3: Cross multiply
    431.53x = 595.64 × 321.37
  4. Step 4: Simplify right side
    431.53x = 191,420.83
  5. Step 5: Solve for x
    x = 191,420.83/431.53
  6. Step 6: Final answer
    x = 443.59

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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.