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Finding the Fourth Proportional to 433.60, 649.88 and 228.06

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Solution

The fourth proportional to 433.60, 649.88 and 228.06 is: 341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 649.88 = 228.06 : x
  2. Step 2: Convert to fraction form
    433.60/649.88 = 228.06/x
  3. Step 3: Cross multiply
    433.60x = 649.88 × 228.06
  4. Step 4: Simplify right side
    433.60x = 148,215.07
  5. Step 5: Solve for x
    x = 148,215.07/433.60
  6. Step 6: Final answer
    x = 341.82

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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.