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Finding the Fourth Proportional to 464.13, 696.29 and 190.42

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Solution

The fourth proportional to 464.13, 696.29 and 190.42 is: 285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 696.29 = 190.42 : x
  2. Step 2: Convert to fraction form
    464.13/696.29 = 190.42/x
  3. Step 3: Cross multiply
    464.13x = 696.29 × 190.42
  4. Step 4: Simplify right side
    464.13x = 132,587.46
  5. Step 5: Solve for x
    x = 132,587.46/464.13
  6. Step 6: Final answer
    x = 285.67

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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.