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Finding the Fourth Proportional to 340.14, 469.26 and 261.48

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Solution

The fourth proportional to 340.14, 469.26 and 261.48 is: 360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 469.26 = 261.48 : x
  2. Step 2: Convert to fraction form
    340.14/469.26 = 261.48/x
  3. Step 3: Cross multiply
    340.14x = 469.26 × 261.48
  4. Step 4: Simplify right side
    340.14x = 122,702.10
  5. Step 5: Solve for x
    x = 122,702.10/340.14
  6. Step 6: Final answer
    x = 360.74

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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.