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Finding the Fourth Proportional to 432.60, 596.79 and 292.67

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Solution

The fourth proportional to 432.60, 596.79 and 292.67 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 596.79 = 292.67 : x
  2. Step 2: Convert to fraction form
    432.60/596.79 = 292.67/x
  3. Step 3: Cross multiply
    432.60x = 596.79 × 292.67
  4. Step 4: Simplify right side
    432.60x = 174,660.28
  5. Step 5: Solve for x
    x = 174,660.28/432.60
  6. Step 6: Final answer
    x = 403.75

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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.