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Finding the Fourth Proportional to 910.65, 1,366.19 and 294.39

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Solution

The fourth proportional to 910.65, 1,366.19 and 294.39 is: 441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.65 : 1,366.19 = 294.39 : x
  2. Step 2: Convert to fraction form
    910.65/1,366.19 = 294.39/x
  3. Step 3: Cross multiply
    910.65x = 1,366.19 × 294.39
  4. Step 4: Simplify right side
    910.65x = 402,191.20
  5. Step 5: Solve for x
    x = 402,191.20/910.65
  6. Step 6: Final answer
    x = 441.65

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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.