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Finding the Fourth Proportional to 264.05, 395.54 and 215.34

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Solution

The fourth proportional to 264.05, 395.54 and 215.34 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.05 : 395.54 = 215.34 : x
  2. Step 2: Convert to fraction form
    264.05/395.54 = 215.34/x
  3. Step 3: Cross multiply
    264.05x = 395.54 × 215.34
  4. Step 4: Simplify right side
    264.05x = 85,174.51
  5. Step 5: Solve for x
    x = 85,174.51/264.05
  6. Step 6: Final answer
    x = 322.58

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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.