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Finding the Fourth Proportional to 395.72, 546.55 and 264.50

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Solution

The fourth proportional to 395.72, 546.55 and 264.50 is: 365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 546.55 = 264.50 : x
  2. Step 2: Convert to fraction form
    395.72/546.55 = 264.50/x
  3. Step 3: Cross multiply
    395.72x = 546.55 × 264.50
  4. Step 4: Simplify right side
    395.72x = 144,561.13
  5. Step 5: Solve for x
    x = 144,561.13/395.72
  6. Step 6: Final answer
    x = 365.31

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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.