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Finding the Fourth Proportional to 362.51, 499.76 and 309.82

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Solution

The fourth proportional to 362.51, 499.76 and 309.82 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.51 : 499.76 = 309.82 : x
  2. Step 2: Convert to fraction form
    362.51/499.76 = 309.82/x
  3. Step 3: Cross multiply
    362.51x = 499.76 × 309.82
  4. Step 4: Simplify right side
    362.51x = 154,832.84
  5. Step 5: Solve for x
    x = 154,832.84/362.51
  6. Step 6: Final answer
    x = 427.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.