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Finding the Fourth Proportional to 432.32, 595.14 and 321.44

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Solution

The fourth proportional to 432.32, 595.14 and 321.44 is: 442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.32 : 595.14 = 321.44 : x
  2. Step 2: Convert to fraction form
    432.32/595.14 = 321.44/x
  3. Step 3: Cross multiply
    432.32x = 595.14 × 321.44
  4. Step 4: Simplify right side
    432.32x = 191,301.80
  5. Step 5: Solve for x
    x = 191,301.80/432.32
  6. Step 6: Final answer
    x = 442.50

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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.