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Finding the Fourth Proportional to 910.24, 1,365.08 and 293.80

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Solution

The fourth proportional to 910.24, 1,365.08 and 293.80 is: 440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.24 : 1,365.08 = 293.80 : x
  2. Step 2: Convert to fraction form
    910.24/1,365.08 = 293.80/x
  3. Step 3: Cross multiply
    910.24x = 1,365.08 × 293.80
  4. Step 4: Simplify right side
    910.24x = 401,060.50
  5. Step 5: Solve for x
    x = 401,060.50/910.24
  6. Step 6: Final answer
    x = 440.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.