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Finding the Fourth Proportional to 362.08, 499.71 and 214.75

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Solution

The fourth proportional to 362.08, 499.71 and 214.75 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.08 : 499.71 = 214.75 : x
  2. Step 2: Convert to fraction form
    362.08/499.71 = 214.75/x
  3. Step 3: Cross multiply
    362.08x = 499.71 × 214.75
  4. Step 4: Simplify right side
    362.08x = 107,312.72
  5. Step 5: Solve for x
    x = 107,312.72/362.08
  6. Step 6: Final answer
    x = 296.38

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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.