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Finding the Fourth Proportional to 953.48, 1,429.34 and 336.76

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Solution

The fourth proportional to 953.48, 1,429.34 and 336.76 is: 504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.48 : 1,429.34 = 336.76 : x
  2. Step 2: Convert to fraction form
    953.48/1,429.34 = 336.76/x
  3. Step 3: Cross multiply
    953.48x = 1,429.34 × 336.76
  4. Step 4: Simplify right side
    953.48x = 481,344.54
  5. Step 5: Solve for x
    x = 481,344.54/953.48
  6. Step 6: Final answer
    x = 504.83

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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.