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Finding the Fourth Proportional to 297.58, 411.15 and 264.54

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Solution

The fourth proportional to 297.58, 411.15 and 264.54 is: 365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.58 : 411.15 = 264.54 : x
  2. Step 2: Convert to fraction form
    297.58/411.15 = 264.54/x
  3. Step 3: Cross multiply
    297.58x = 411.15 × 264.54
  4. Step 4: Simplify right side
    297.58x = 108,765.07
  5. Step 5: Solve for x
    x = 108,765.07/297.58
  6. Step 6: Final answer
    x = 365.50

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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.