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Finding the Fourth Proportional to 674.02, 1,010.49 and 289.54

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Solution

The fourth proportional to 674.02, 1,010.49 and 289.54 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.02 : 1,010.49 = 289.54 : x
  2. Step 2: Convert to fraction form
    674.02/1,010.49 = 289.54/x
  3. Step 3: Cross multiply
    674.02x = 1,010.49 × 289.54
  4. Step 4: Simplify right side
    674.02x = 292,577.27
  5. Step 5: Solve for x
    x = 292,577.27/674.02
  6. Step 6: Final answer
    x = 434.08

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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.