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Finding the Fourth Proportional to 690.54, 1,035.36 and 343.77

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Solution

The fourth proportional to 690.54, 1,035.36 and 343.77 is: 515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 1,035.36 = 343.77 : x
  2. Step 2: Convert to fraction form
    690.54/1,035.36 = 343.77/x
  3. Step 3: Cross multiply
    690.54x = 1,035.36 × 343.77
  4. Step 4: Simplify right side
    690.54x = 355,925.71
  5. Step 5: Solve for x
    x = 355,925.71/690.54
  6. Step 6: Final answer
    x = 515.43

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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.