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Finding the Fourth Proportional to 362.06, 499.57 and 214.64

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Solution

The fourth proportional to 362.06, 499.57 and 214.64 is: 296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.06 : 499.57 = 214.64 : x
  2. Step 2: Convert to fraction form
    362.06/499.57 = 214.64/x
  3. Step 3: Cross multiply
    362.06x = 499.57 × 214.64
  4. Step 4: Simplify right side
    362.06x = 107,224.67
  5. Step 5: Solve for x
    x = 107,224.67/362.06
  6. Step 6: Final answer
    x = 296.16

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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.