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Finding the Fourth Proportional to 910.68, 1,364.22 and 423.06

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Solution

The fourth proportional to 910.68, 1,364.22 and 423.06 is: 633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.68 : 1,364.22 = 423.06 : x
  2. Step 2: Convert to fraction form
    910.68/1,364.22 = 423.06/x
  3. Step 3: Cross multiply
    910.68x = 1,364.22 × 423.06
  4. Step 4: Simplify right side
    910.68x = 577,146.91
  5. Step 5: Solve for x
    x = 577,146.91/910.68
  6. Step 6: Final answer
    x = 633.75

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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.