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Finding the Fourth Proportional to 466.44, 696.24 and 434.46

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Solution

The fourth proportional to 466.44, 696.24 and 434.46 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.44 : 696.24 = 434.46 : x
  2. Step 2: Convert to fraction form
    466.44/696.24 = 434.46/x
  3. Step 3: Cross multiply
    466.44x = 696.24 × 434.46
  4. Step 4: Simplify right side
    466.44x = 302,488.43
  5. Step 5: Solve for x
    x = 302,488.43/466.44
  6. Step 6: Final answer
    x = 648.50

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Why These Related Problems?

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