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Finding the Fourth Proportional to 690.23, 1,035.66 and 343.55

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Solution

The fourth proportional to 690.23, 1,035.66 and 343.55 is: 515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.23 : 1,035.66 = 343.55 : x
  2. Step 2: Convert to fraction form
    690.23/1,035.66 = 343.55/x
  3. Step 3: Cross multiply
    690.23x = 1,035.66 × 343.55
  4. Step 4: Simplify right side
    690.23x = 355,795.81
  5. Step 5: Solve for x
    x = 355,795.81/690.23
  6. Step 6: Final answer
    x = 515.48

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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.