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Finding the Fourth Proportional to 674.30, 1,010.64 and 289.28

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Solution

The fourth proportional to 674.30, 1,010.64 and 289.28 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.30 : 1,010.64 = 289.28 : x
  2. Step 2: Convert to fraction form
    674.30/1,010.64 = 289.28/x
  3. Step 3: Cross multiply
    674.30x = 1,010.64 × 289.28
  4. Step 4: Simplify right side
    674.30x = 292,357.94
  5. Step 5: Solve for x
    x = 292,357.94/674.30
  6. Step 6: Final answer
    x = 433.57

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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.