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Finding the Fourth Proportional to 910.65, 1,364.36 and 422.85

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Solution

The fourth proportional to 910.65, 1,364.36 and 422.85 is: 633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.65 : 1,364.36 = 422.85 : x
  2. Step 2: Convert to fraction form
    910.65/1,364.36 = 422.85/x
  3. Step 3: Cross multiply
    910.65x = 1,364.36 × 422.85
  4. Step 4: Simplify right side
    910.65x = 576,917.51
  5. Step 5: Solve for x
    x = 576,917.51/910.65
  6. Step 6: Final answer
    x = 633.52

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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.