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Finding the Fourth Proportional to 433.44, 650.16 and 312.72

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Solution

The fourth proportional to 433.44, 650.16 and 312.72 is: 469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 650.16 = 312.72 : x
  2. Step 2: Convert to fraction form
    433.44/650.16 = 312.72/x
  3. Step 3: Cross multiply
    433.44x = 650.16 × 312.72
  4. Step 4: Simplify right side
    433.44x = 203,318.04
  5. Step 5: Solve for x
    x = 203,318.04/433.44
  6. Step 6: Final answer
    x = 469.08

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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.