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Finding the Fourth Proportional to 350.40, 523.25 and 330.15

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Solution

The fourth proportional to 350.40, 523.25 and 330.15 is: 493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 523.25 = 330.15 : x
  2. Step 2: Convert to fraction form
    350.40/523.25 = 330.15/x
  3. Step 3: Cross multiply
    350.40x = 523.25 × 330.15
  4. Step 4: Simplify right side
    350.40x = 172,749.34
  5. Step 5: Solve for x
    x = 172,749.34/350.40
  6. Step 6: Final answer
    x = 493.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.