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Finding the Fourth Proportional to 296.84, 445.80 and 228.53

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Solution

The fourth proportional to 296.84, 445.80 and 228.53 is: 343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.84 : 445.80 = 228.53 : x
  2. Step 2: Convert to fraction form
    296.84/445.80 = 228.53/x
  3. Step 3: Cross multiply
    296.84x = 445.80 × 228.53
  4. Step 4: Simplify right side
    296.84x = 101,878.67
  5. Step 5: Solve for x
    x = 101,878.67/296.84
  6. Step 6: Final answer
    x = 343.21

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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.