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Finding the Fourth Proportional to 386.93, 533.74 and 313.12

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Solution

The fourth proportional to 386.93, 533.74 and 313.12 is: 431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.93 : 533.74 = 313.12 : x
  2. Step 2: Convert to fraction form
    386.93/533.74 = 313.12/x
  3. Step 3: Cross multiply
    386.93x = 533.74 × 313.12
  4. Step 4: Simplify right side
    386.93x = 167,122.14
  5. Step 5: Solve for x
    x = 167,122.14/386.93
  6. Step 6: Final answer
    x = 431.92

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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.