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Finding the Fourth Proportional to 674.78, 1,012.53 and 290

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Solution

The fourth proportional to 674.78, 1,012.53 and 290 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.78 : 1,012.53 = 290 : x
  2. Step 2: Convert to fraction form
    674.78/1,012.53 = 290/x
  3. Step 3: Cross multiply
    674.78x = 1,012.53 × 290
  4. Step 4: Simplify right side
    674.78x = 293,633.70
  5. Step 5: Solve for x
    x = 293,633.70/674.78
  6. Step 6: Final answer
    x = 435.15

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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.