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Finding the Fourth Proportional to 432.56, 596.70 and 292.74

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Solution

The fourth proportional to 432.56, 596.70 and 292.74 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 596.70 = 292.74 : x
  2. Step 2: Convert to fraction form
    432.56/596.70 = 292.74/x
  3. Step 3: Cross multiply
    432.56x = 596.70 × 292.74
  4. Step 4: Simplify right side
    432.56x = 174,677.96
  5. Step 5: Solve for x
    x = 174,677.96/432.56
  6. Step 6: Final answer
    x = 403.83

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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.