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Finding the Fourth Proportional to 346.57, 478.31 and 263.54

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Solution

The fourth proportional to 346.57, 478.31 and 263.54 is: 363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.57 : 478.31 = 263.54 : x
  2. Step 2: Convert to fraction form
    346.57/478.31 = 263.54/x
  3. Step 3: Cross multiply
    346.57x = 478.31 × 263.54
  4. Step 4: Simplify right side
    346.57x = 126,053.82
  5. Step 5: Solve for x
    x = 126,053.82/346.57
  6. Step 6: Final answer
    x = 363.72

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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.