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Finding the Fourth Proportional to 264.35, 394.77 and 261.49

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Solution

The fourth proportional to 264.35, 394.77 and 261.49 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 394.77 = 261.49 : x
  2. Step 2: Convert to fraction form
    264.35/394.77 = 261.49/x
  3. Step 3: Cross multiply
    264.35x = 394.77 × 261.49
  4. Step 4: Simplify right side
    264.35x = 103,228.41
  5. Step 5: Solve for x
    x = 103,228.41/264.35
  6. Step 6: Final answer
    x = 390.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.