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Finding the Fourth Proportional to 464.94, 641.58 and 265.77

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Solution

The fourth proportional to 464.94, 641.58 and 265.77 is: 366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 641.58 = 265.77 : x
  2. Step 2: Convert to fraction form
    464.94/641.58 = 265.77/x
  3. Step 3: Cross multiply
    464.94x = 641.58 × 265.77
  4. Step 4: Simplify right side
    464.94x = 170,512.72
  5. Step 5: Solve for x
    x = 170,512.72/464.94
  6. Step 6: Final answer
    x = 366.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.