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Finding the Fourth Proportional to 432.86, 596.49 and 308.17

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Solution

The fourth proportional to 432.86, 596.49 and 308.17 is: 424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.86 : 596.49 = 308.17 : x
  2. Step 2: Convert to fraction form
    432.86/596.49 = 308.17/x
  3. Step 3: Cross multiply
    432.86x = 596.49 × 308.17
  4. Step 4: Simplify right side
    432.86x = 183,821.65
  5. Step 5: Solve for x
    x = 183,821.65/432.86
  6. Step 6: Final answer
    x = 424.67

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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.