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Finding the Fourth Proportional to 422.32, 632.58 and 312.34

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Solution

The fourth proportional to 422.32, 632.58 and 312.34 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 632.58 = 312.34 : x
  2. Step 2: Convert to fraction form
    422.32/632.58 = 312.34/x
  3. Step 3: Cross multiply
    422.32x = 632.58 × 312.34
  4. Step 4: Simplify right side
    422.32x = 197,580.04
  5. Step 5: Solve for x
    x = 197,580.04/422.32
  6. Step 6: Final answer
    x = 467.84

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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.