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Finding the Fourth Proportional to 263.07, 360.40 and 253.21

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Solution

The fourth proportional to 263.07, 360.40 and 253.21 is: 346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.07 : 360.40 = 253.21 : x
  2. Step 2: Convert to fraction form
    263.07/360.40 = 253.21/x
  3. Step 3: Cross multiply
    263.07x = 360.40 × 253.21
  4. Step 4: Simplify right side
    263.07x = 91,257.79
  5. Step 5: Solve for x
    x = 91,257.79/263.07
  6. Step 6: Final answer
    x = 346.90

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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.