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Finding the Fourth Proportional to 690.27, 1,035.40 and 279.41

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Solution

The fourth proportional to 690.27, 1,035.40 and 279.41 is: 419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.27 : 1,035.40 = 279.41 : x
  2. Step 2: Convert to fraction form
    690.27/1,035.40 = 279.41/x
  3. Step 3: Cross multiply
    690.27x = 1,035.40 × 279.41
  4. Step 4: Simplify right side
    690.27x = 289,295.76
  5. Step 5: Solve for x
    x = 289,295.76/690.27
  6. Step 6: Final answer
    x = 419.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.