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Finding the Fourth Proportional to 690.61, 1,035.82 and 228.41

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Solution

The fourth proportional to 690.61, 1,035.82 and 228.41 is: 342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.61 : 1,035.82 = 228.41 : x
  2. Step 2: Convert to fraction form
    690.61/1,035.82 = 228.41/x
  3. Step 3: Cross multiply
    690.61x = 1,035.82 × 228.41
  4. Step 4: Simplify right side
    690.61x = 236,591.65
  5. Step 5: Solve for x
    x = 236,591.65/690.61
  6. Step 6: Final answer
    x = 342.58

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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.