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Finding the Fourth Proportional to 673.50, 929.21 and 407.85

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Solution

The fourth proportional to 673.50, 929.21 and 407.85 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.50 : 929.21 = 407.85 : x
  2. Step 2: Convert to fraction form
    673.50/929.21 = 407.85/x
  3. Step 3: Cross multiply
    673.50x = 929.21 × 407.85
  4. Step 4: Simplify right side
    673.50x = 378,983.20
  5. Step 5: Solve for x
    x = 378,983.20/673.50
  6. Step 6: Final answer
    x = 562.71

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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.