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Finding the Fourth Proportional to 464.57, 697.14 and 190.67

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Solution

The fourth proportional to 464.57, 697.14 and 190.67 is: 286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 697.14 = 190.67 : x
  2. Step 2: Convert to fraction form
    464.57/697.14 = 190.67/x
  3. Step 3: Cross multiply
    464.57x = 697.14 × 190.67
  4. Step 4: Simplify right side
    464.57x = 132,920.20
  5. Step 5: Solve for x
    x = 132,920.20/464.57
  6. Step 6: Final answer
    x = 286.11

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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.