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Finding the Fourth Proportional to 910.09, 1,364.78 and 293.63

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Solution

The fourth proportional to 910.09, 1,364.78 and 293.63 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.09 : 1,364.78 = 293.63 : x
  2. Step 2: Convert to fraction form
    910.09/1,364.78 = 293.63/x
  3. Step 3: Cross multiply
    910.09x = 1,364.78 × 293.63
  4. Step 4: Simplify right side
    910.09x = 400,740.35
  5. Step 5: Solve for x
    x = 400,740.35/910.09
  6. Step 6: Final answer
    x = 440.33

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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.