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Finding the Fourth Proportional to 673.69, 929.72 and 411.72

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Solution

The fourth proportional to 673.69, 929.72 and 411.72 is: 568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.69 : 929.72 = 411.72 : x
  2. Step 2: Convert to fraction form
    673.69/929.72 = 411.72/x
  3. Step 3: Cross multiply
    673.69x = 929.72 × 411.72
  4. Step 4: Simplify right side
    673.69x = 382,785.35
  5. Step 5: Solve for x
    x = 382,785.35/673.69
  6. Step 6: Final answer
    x = 568.19

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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.