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Finding the Fourth Proportional to 432.86, 597.47 and 308.79

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Solution

The fourth proportional to 432.86, 597.47 and 308.79 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.86 : 597.47 = 308.79 : x
  2. Step 2: Convert to fraction form
    432.86/597.47 = 308.79/x
  3. Step 3: Cross multiply
    432.86x = 597.47 × 308.79
  4. Step 4: Simplify right side
    432.86x = 184,491.22
  5. Step 5: Solve for x
    x = 184,491.22/432.86
  6. Step 6: Final answer
    x = 426.22

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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.