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Finding the Fourth Proportional to 910.30, 1,364.30 and 389.69

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Solution

The fourth proportional to 910.30, 1,364.30 and 389.69 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.30 : 1,364.30 = 389.69 : x
  2. Step 2: Convert to fraction form
    910.30/1,364.30 = 389.69/x
  3. Step 3: Cross multiply
    910.30x = 1,364.30 × 389.69
  4. Step 4: Simplify right side
    910.30x = 531,645.30
  5. Step 5: Solve for x
    x = 531,645.30/910.30
  6. Step 6: Final answer
    x = 584.04

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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.