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Finding the Fourth Proportional to 362.16, 540.16 and 350.16

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Solution

The fourth proportional to 362.16, 540.16 and 350.16 is: 522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 540.16 = 350.16 : x
  2. Step 2: Convert to fraction form
    362.16/540.16 = 350.16/x
  3. Step 3: Cross multiply
    362.16x = 540.16 × 350.16
  4. Step 4: Simplify right side
    362.16x = 189,142.43
  5. Step 5: Solve for x
    x = 189,142.43/362.16
  6. Step 6: Final answer
    x = 522.26

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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.