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Finding the Fourth Proportional to 433.58, 650.46 and 217.10

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Solution

The fourth proportional to 433.58, 650.46 and 217.10 is: 325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.58 : 650.46 = 217.10 : x
  2. Step 2: Convert to fraction form
    433.58/650.46 = 217.10/x
  3. Step 3: Cross multiply
    433.58x = 650.46 × 217.10
  4. Step 4: Simplify right side
    433.58x = 141,214.87
  5. Step 5: Solve for x
    x = 141,214.87/433.58
  6. Step 6: Final answer
    x = 325.70

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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.