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Finding the Fourth Proportional to 264.47, 364.77 and 255.56

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Solution

The fourth proportional to 264.47, 364.77 and 255.56 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 364.77 = 255.56 : x
  2. Step 2: Convert to fraction form
    264.47/364.77 = 255.56/x
  3. Step 3: Cross multiply
    264.47x = 364.77 × 255.56
  4. Step 4: Simplify right side
    264.47x = 93,218.80
  5. Step 5: Solve for x
    x = 93,218.80/264.47
  6. Step 6: Final answer
    x = 352.48

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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.