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Finding the Fourth Proportional to 433.70, 648.10 and 312.20

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Solution

The fourth proportional to 433.70, 648.10 and 312.20 is: 466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.70 : 648.10 = 312.20 : x
  2. Step 2: Convert to fraction form
    433.70/648.10 = 312.20/x
  3. Step 3: Cross multiply
    433.70x = 648.10 × 312.20
  4. Step 4: Simplify right side
    433.70x = 202,336.82
  5. Step 5: Solve for x
    x = 202,336.82/433.70
  6. Step 6: Final answer
    x = 466.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.