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Finding the Fourth Proportional to 432.44, 596.14 and 308.05

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Solution

The fourth proportional to 432.44, 596.14 and 308.05 is: 424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.44 : 596.14 = 308.05 : x
  2. Step 2: Convert to fraction form
    432.44/596.14 = 308.05/x
  3. Step 3: Cross multiply
    432.44x = 596.14 × 308.05
  4. Step 4: Simplify right side
    432.44x = 183,643.75
  5. Step 5: Solve for x
    x = 183,643.75/432.44
  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.