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Finding the Fourth Proportional to 393.37, 542.08 and 260.44

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Solution

The fourth proportional to 393.37, 542.08 and 260.44 is: 358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.37 : 542.08 = 260.44 : x
  2. Step 2: Convert to fraction form
    393.37/542.08 = 260.44/x
  3. Step 3: Cross multiply
    393.37x = 542.08 × 260.44
  4. Step 4: Simplify right side
    393.37x = 141,178.66
  5. Step 5: Solve for x
    x = 141,178.66/393.37
  6. Step 6: Final answer
    x = 358.90

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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.