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Finding the Fourth Proportional to 393.72, 543.07 and 260.94

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Solution

The fourth proportional to 393.72, 543.07 and 260.94 is: 359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.72 : 543.07 = 260.94 : x
  2. Step 2: Convert to fraction form
    393.72/543.07 = 260.94/x
  3. Step 3: Cross multiply
    393.72x = 543.07 × 260.94
  4. Step 4: Simplify right side
    393.72x = 141,708.69
  5. Step 5: Solve for x
    x = 141,708.69/393.72
  6. Step 6: Final answer
    x = 359.92

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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.