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Finding the Fourth Proportional to 910.83, 1,366.31 and 294.71

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Solution

The fourth proportional to 910.83, 1,366.31 and 294.71 is: 442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.83 : 1,366.31 = 294.71 : x
  2. Step 2: Convert to fraction form
    910.83/1,366.31 = 294.71/x
  3. Step 3: Cross multiply
    910.83x = 1,366.31 × 294.71
  4. Step 4: Simplify right side
    910.83x = 402,668.58
  5. Step 5: Solve for x
    x = 402,668.58/910.83
  6. Step 6: Final answer
    x = 442.09

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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.