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Finding the Fourth Proportional to 466.40, 699.64 and 192.42

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Solution

The fourth proportional to 466.40, 699.64 and 192.42 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.40 : 699.64 = 192.42 : x
  2. Step 2: Convert to fraction form
    466.40/699.64 = 192.42/x
  3. Step 3: Cross multiply
    466.40x = 699.64 × 192.42
  4. Step 4: Simplify right side
    466.40x = 134,624.25
  5. Step 5: Solve for x
    x = 134,624.25/466.40
  6. Step 6: Final answer
    x = 288.64

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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.