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Finding the Fourth Proportional to 434.46, 650.70 and 312.34

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Solution

The fourth proportional to 434.46, 650.70 and 312.34 is: 467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.46 : 650.70 = 312.34 : x
  2. Step 2: Convert to fraction form
    434.46/650.70 = 312.34/x
  3. Step 3: Cross multiply
    434.46x = 650.70 × 312.34
  4. Step 4: Simplify right side
    434.46x = 203,239.64
  5. Step 5: Solve for x
    x = 203,239.64/434.46
  6. Step 6: Final answer
    x = 467.80

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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.