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Finding the Fourth Proportional to 432.72, 596.70 and 322.02

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Solution

The fourth proportional to 432.72, 596.70 and 322.02 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 596.70 = 322.02 : x
  2. Step 2: Convert to fraction form
    432.72/596.70 = 322.02/x
  3. Step 3: Cross multiply
    432.72x = 596.70 × 322.02
  4. Step 4: Simplify right side
    432.72x = 192,149.33
  5. Step 5: Solve for x
    x = 192,149.33/432.72
  6. Step 6: Final answer
    x = 444.05

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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.