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Finding the Fourth Proportional to 690.65, 1,035.16 and 343.88

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Solution

The fourth proportional to 690.65, 1,035.16 and 343.88 is: 515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.65 : 1,035.16 = 343.88 : x
  2. Step 2: Convert to fraction form
    690.65/1,035.16 = 343.88/x
  3. Step 3: Cross multiply
    690.65x = 1,035.16 × 343.88
  4. Step 4: Simplify right side
    690.65x = 355,970.82
  5. Step 5: Solve for x
    x = 355,970.82/690.65
  6. Step 6: Final answer
    x = 515.41

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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.