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Finding the Fourth Proportional to 264.60, 397.17 and 263.25

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Solution

The fourth proportional to 264.60, 397.17 and 263.25 is: 395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.60 : 397.17 = 263.25 : x
  2. Step 2: Convert to fraction form
    264.60/397.17 = 263.25/x
  3. Step 3: Cross multiply
    264.60x = 397.17 × 263.25
  4. Step 4: Simplify right side
    264.60x = 104,555.00
  5. Step 5: Solve for x
    x = 104,555.00/264.60
  6. Step 6: Final answer
    x = 395.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.