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Finding the Fourth Proportional to 353.15, 529.22 and 309.71

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Solution

The fourth proportional to 353.15, 529.22 and 309.71 is: 464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.15 : 529.22 = 309.71 : x
  2. Step 2: Convert to fraction form
    353.15/529.22 = 309.71/x
  3. Step 3: Cross multiply
    353.15x = 529.22 × 309.71
  4. Step 4: Simplify right side
    353.15x = 163,904.50
  5. Step 5: Solve for x
    x = 163,904.50/353.15
  6. Step 6: Final answer
    x = 464.12

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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.