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Finding the Fourth Proportional to 673.90, 929.31 and 411.76

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Solution

The fourth proportional to 673.90, 929.31 and 411.76 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.90 : 929.31 = 411.76 : x
  2. Step 2: Convert to fraction form
    673.90/929.31 = 411.76/x
  3. Step 3: Cross multiply
    673.90x = 929.31 × 411.76
  4. Step 4: Simplify right side
    673.90x = 382,652.69
  5. Step 5: Solve for x
    x = 382,652.69/673.90
  6. Step 6: Final answer
    x = 567.82

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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.