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Finding the Fourth Proportional to 673.91, 929.61 and 394.08

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Solution

The fourth proportional to 673.91, 929.61 and 394.08 is: 543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.91 : 929.61 = 394.08 : x
  2. Step 2: Convert to fraction form
    673.91/929.61 = 394.08/x
  3. Step 3: Cross multiply
    673.91x = 929.61 × 394.08
  4. Step 4: Simplify right side
    673.91x = 366,345.67
  5. Step 5: Solve for x
    x = 366,345.67/673.91
  6. Step 6: Final answer
    x = 543.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.