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Finding the Fourth Proportional to 694.35, 1,041.82 and 304.43

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Solution

The fourth proportional to 694.35, 1,041.82 and 304.43 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.35 : 1,041.82 = 304.43 : x
  2. Step 2: Convert to fraction form
    694.35/1,041.82 = 304.43/x
  3. Step 3: Cross multiply
    694.35x = 1,041.82 × 304.43
  4. Step 4: Simplify right side
    694.35x = 317,155.29
  5. Step 5: Solve for x
    x = 317,155.29/694.35
  6. Step 6: Final answer
    x = 456.77

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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.