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Finding the Fourth Proportional to 910, 1,365.05 and 293.66

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Solution

The fourth proportional to 910, 1,365.05 and 293.66 is: 440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    910 : 1,365.05 = 293.66 : x
  2. Step 2: Convert to fraction form
    910/1,365.05 = 293.66/x
  3. Step 3: Cross multiply
    910x = 1,365.05 × 293.66
  4. Step 4: Simplify right side
    910x = 400,860.58
  5. Step 5: Solve for x
    x = 400,860.58/910
  6. Step 6: Final answer
    x = 440.51

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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.