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Finding the Fourth Proportional to 673.29, 1,010.34 and 442.31

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Solution

The fourth proportional to 673.29, 1,010.34 and 442.31 is: 663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.29 : 1,010.34 = 442.31 : x
  2. Step 2: Convert to fraction form
    673.29/1,010.34 = 442.31/x
  3. Step 3: Cross multiply
    673.29x = 1,010.34 × 442.31
  4. Step 4: Simplify right side
    673.29x = 446,878.43
  5. Step 5: Solve for x
    x = 446,878.43/673.29
  6. Step 6: Final answer
    x = 663.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.