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Finding the Fourth Proportional to 467.19, 697.39 and 428.67

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Solution

The fourth proportional to 467.19, 697.39 and 428.67 is: 639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.19 : 697.39 = 428.67 : x
  2. Step 2: Convert to fraction form
    467.19/697.39 = 428.67/x
  3. Step 3: Cross multiply
    467.19x = 697.39 × 428.67
  4. Step 4: Simplify right side
    467.19x = 298,949.10
  5. Step 5: Solve for x
    x = 298,949.10/467.19
  6. Step 6: Final answer
    x = 639.89

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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.