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Finding the Fourth Proportional to 673.78, 929.54 and 411.70

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Solution

The fourth proportional to 673.78, 929.54 and 411.70 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.78 : 929.54 = 411.70 : x
  2. Step 2: Convert to fraction form
    673.78/929.54 = 411.70/x
  3. Step 3: Cross multiply
    673.78x = 929.54 × 411.70
  4. Step 4: Simplify right side
    673.78x = 382,691.62
  5. Step 5: Solve for x
    x = 382,691.62/673.78
  6. Step 6: Final answer
    x = 567.98

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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.