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Finding the Fourth Proportional to 432.10, 596.34 and 264.03

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Solution

The fourth proportional to 432.10, 596.34 and 264.03 is: 364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.10 : 596.34 = 264.03 : x
  2. Step 2: Convert to fraction form
    432.10/596.34 = 264.03/x
  3. Step 3: Cross multiply
    432.10x = 596.34 × 264.03
  4. Step 4: Simplify right side
    432.10x = 157,451.65
  5. Step 5: Solve for x
    x = 157,451.65/432.10
  6. Step 6: Final answer
    x = 364.39

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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.