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Finding the Fourth Proportional to 353.24, 529.36 and 309.81

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Solution

The fourth proportional to 353.24, 529.36 and 309.81 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.24 : 529.36 = 309.81 : x
  2. Step 2: Convert to fraction form
    353.24/529.36 = 309.81/x
  3. Step 3: Cross multiply
    353.24x = 529.36 × 309.81
  4. Step 4: Simplify right side
    353.24x = 164,000.13
  5. Step 5: Solve for x
    x = 164,000.13/353.24
  6. Step 6: Final answer
    x = 464.27

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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.