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Finding the Fourth Proportional to 690.45, 1,035.45 and 228.15

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Solution

The fourth proportional to 690.45, 1,035.45 and 228.15 is: 342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.45 : 1,035.45 = 228.15 : x
  2. Step 2: Convert to fraction form
    690.45/1,035.45 = 228.15/x
  3. Step 3: Cross multiply
    690.45x = 1,035.45 × 228.15
  4. Step 4: Simplify right side
    690.45x = 236,237.92
  5. Step 5: Solve for x
    x = 236,237.92/690.45
  6. Step 6: Final answer
    x = 342.15

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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.