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Finding the Fourth Proportional to 354.20, 529.76 and 309.86

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Solution

The fourth proportional to 354.20, 529.76 and 309.86 is: 463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.20 : 529.76 = 309.86 : x
  2. Step 2: Convert to fraction form
    354.20/529.76 = 309.86/x
  3. Step 3: Cross multiply
    354.20x = 529.76 × 309.86
  4. Step 4: Simplify right side
    354.20x = 164,149.56
  5. Step 5: Solve for x
    x = 164,149.56/354.20
  6. Step 6: Final answer
    x = 463.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.