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Finding the Fourth Proportional to 432.20, 596.36 and 292.10

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Solution

The fourth proportional to 432.20, 596.36 and 292.10 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.20 : 596.36 = 292.10 : x
  2. Step 2: Convert to fraction form
    432.20/596.36 = 292.10/x
  3. Step 3: Cross multiply
    432.20x = 596.36 × 292.10
  4. Step 4: Simplify right side
    432.20x = 174,192.31
  5. Step 5: Solve for x
    x = 174,192.31/432.20
  6. Step 6: Final answer
    x = 403.04

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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.