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Finding the Fourth Proportional to 910.04, 1,364.37 and 293.39

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Solution

The fourth proportional to 910.04, 1,364.37 and 293.39 is: 439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.04 : 1,364.37 = 293.39 : x
  2. Step 2: Convert to fraction form
    910.04/1,364.37 = 293.39/x
  3. Step 3: Cross multiply
    910.04x = 1,364.37 × 293.39
  4. Step 4: Simplify right side
    910.04x = 400,285.69
  5. Step 5: Solve for x
    x = 400,285.69/910.04
  6. Step 6: Final answer
    x = 439.86

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