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Finding the Fourth Proportional to 362.34, 538.85 and 350.81

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Solution

The fourth proportional to 362.34, 538.85 and 350.81 is: 521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 538.85 = 350.81 : x
  2. Step 2: Convert to fraction form
    362.34/538.85 = 350.81/x
  3. Step 3: Cross multiply
    362.34x = 538.85 × 350.81
  4. Step 4: Simplify right side
    362.34x = 189,035.84
  5. Step 5: Solve for x
    x = 189,035.84/362.34
  6. Step 6: Final answer
    x = 521.70

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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.