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Finding the Fourth Proportional to 432.34, 596.40 and 292.27

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Solution

The fourth proportional to 432.34, 596.40 and 292.27 is: 403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.34 : 596.40 = 292.27 : x
  2. Step 2: Convert to fraction form
    432.34/596.40 = 292.27/x
  3. Step 3: Cross multiply
    432.34x = 596.40 × 292.27
  4. Step 4: Simplify right side
    432.34x = 174,309.83
  5. Step 5: Solve for x
    x = 174,309.83/432.34
  6. Step 6: Final answer
    x = 403.18

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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.