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Finding the Fourth Proportional to 674.93, 1,012.64 and 309.53

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Solution

The fourth proportional to 674.93, 1,012.64 and 309.53 is: 464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.93 : 1,012.64 = 309.53 : x
  2. Step 2: Convert to fraction form
    674.93/1,012.64 = 309.53/x
  3. Step 3: Cross multiply
    674.93x = 1,012.64 × 309.53
  4. Step 4: Simplify right side
    674.93x = 313,442.46
  5. Step 5: Solve for x
    x = 313,442.46/674.93
  6. Step 6: Final answer
    x = 464.41

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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.