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Finding the Fourth Proportional to 690.33, 1,034.88 and 343.47

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Solution

The fourth proportional to 690.33, 1,034.88 and 343.47 is: 514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 1,034.88 = 343.47 : x
  2. Step 2: Convert to fraction form
    690.33/1,034.88 = 343.47/x
  3. Step 3: Cross multiply
    690.33x = 1,034.88 × 343.47
  4. Step 4: Simplify right side
    690.33x = 355,450.23
  5. Step 5: Solve for x
    x = 355,450.23/690.33
  6. Step 6: Final answer
    x = 514.90

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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.