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Finding the Fourth Proportional to 263.35, 360.93 and 260.24

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Solution

The fourth proportional to 263.35, 360.93 and 260.24 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.35 : 360.93 = 260.24 : x
  2. Step 2: Convert to fraction form
    263.35/360.93 = 260.24/x
  3. Step 3: Cross multiply
    263.35x = 360.93 × 260.24
  4. Step 4: Simplify right side
    263.35x = 93,927.88
  5. Step 5: Solve for x
    x = 93,927.88/263.35
  6. Step 6: Final answer
    x = 356.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.