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Finding the Fourth Proportional to 465.18, 696.27 and 403.98

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Solution

The fourth proportional to 465.18, 696.27 and 403.98 is: 604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.18 : 696.27 = 403.98 : x
  2. Step 2: Convert to fraction form
    465.18/696.27 = 403.98/x
  3. Step 3: Cross multiply
    465.18x = 696.27 × 403.98
  4. Step 4: Simplify right side
    465.18x = 281,279.15
  5. Step 5: Solve for x
    x = 281,279.15/465.18
  6. Step 6: Final answer
    x = 604.67

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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.