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Finding the Fourth Proportional to 433.90, 651.02 and 228.66

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Solution

The fourth proportional to 433.90, 651.02 and 228.66 is: 343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.90 : 651.02 = 228.66 : x
  2. Step 2: Convert to fraction form
    433.90/651.02 = 228.66/x
  3. Step 3: Cross multiply
    433.90x = 651.02 × 228.66
  4. Step 4: Simplify right side
    433.90x = 148,862.23
  5. Step 5: Solve for x
    x = 148,862.23/433.90
  6. Step 6: Final answer
    x = 343.08

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Why These Related Problems?

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