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Finding the Fourth Proportional to 433.68, 649.48 and 351.64

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Solution

The fourth proportional to 433.68, 649.48 and 351.64 is: 526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 649.48 = 351.64 : x
  2. Step 2: Convert to fraction form
    433.68/649.48 = 351.64/x
  3. Step 3: Cross multiply
    433.68x = 649.48 × 351.64
  4. Step 4: Simplify right side
    433.68x = 228,383.15
  5. Step 5: Solve for x
    x = 228,383.15/433.68
  6. Step 6: Final answer
    x = 526.62

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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.