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Finding the Fourth Proportional to 690.25, 1,035.57 and 279.30

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Solution

The fourth proportional to 690.25, 1,035.57 and 279.30 is: 419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.25 : 1,035.57 = 279.30 : x
  2. Step 2: Convert to fraction form
    690.25/1,035.57 = 279.30/x
  3. Step 3: Cross multiply
    690.25x = 1,035.57 × 279.30
  4. Step 4: Simplify right side
    690.25x = 289,234.70
  5. Step 5: Solve for x
    x = 289,234.70/690.25
  6. Step 6: Final answer
    x = 419.03

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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.