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Finding the Fourth Proportional to 432.63, 597.32 and 292.96

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Solution

The fourth proportional to 432.63, 597.32 and 292.96 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 597.32 = 292.96 : x
  2. Step 2: Convert to fraction form
    432.63/597.32 = 292.96/x
  3. Step 3: Cross multiply
    432.63x = 597.32 × 292.96
  4. Step 4: Simplify right side
    432.63x = 174,989.40
  5. Step 5: Solve for x
    x = 174,989.40/432.63
  6. Step 6: Final answer
    x = 404.48

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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.