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Finding the Fourth Proportional to 674.42, 1,010.94 and 309.47

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Solution

The fourth proportional to 674.42, 1,010.94 and 309.47 is: 463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 1,010.94 = 309.47 : x
  2. Step 2: Convert to fraction form
    674.42/1,010.94 = 309.47/x
  3. Step 3: Cross multiply
    674.42x = 1,010.94 × 309.47
  4. Step 4: Simplify right side
    674.42x = 312,855.60
  5. Step 5: Solve for x
    x = 312,855.60/674.42
  6. Step 6: Final answer
    x = 463.89

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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.