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Finding the Fourth Proportional to 673.69, 929.52 and 411.61

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Solution

The fourth proportional to 673.69, 929.52 and 411.61 is: 567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.69 : 929.52 = 411.61 : x
  2. Step 2: Convert to fraction form
    673.69/929.52 = 411.61/x
  3. Step 3: Cross multiply
    673.69x = 929.52 × 411.61
  4. Step 4: Simplify right side
    673.69x = 382,593.02
  5. Step 5: Solve for x
    x = 382,593.02/673.69
  6. Step 6: Final answer
    x = 567.91

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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.