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Finding the Fourth Proportional to 521.37, 719.24 and 311.43

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Solution

The fourth proportional to 521.37, 719.24 and 311.43 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.37 : 719.24 = 311.43 : x
  2. Step 2: Convert to fraction form
    521.37/719.24 = 311.43/x
  3. Step 3: Cross multiply
    521.37x = 719.24 × 311.43
  4. Step 4: Simplify right side
    521.37x = 223,991.36
  5. Step 5: Solve for x
    x = 223,991.36/521.37
  6. Step 6: Final answer
    x = 429.62

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Double scale
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1.5x scale

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.