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Finding the Fourth Proportional to 466.46, 699.99 and 375.33

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Solution

The fourth proportional to 466.46, 699.99 and 375.33 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 699.99 = 375.33 : x
  2. Step 2: Convert to fraction form
    466.46/699.99 = 375.33/x
  3. Step 3: Cross multiply
    466.46x = 699.99 × 375.33
  4. Step 4: Simplify right side
    466.46x = 262,730.58
  5. Step 5: Solve for x
    x = 262,730.58/466.46
  6. Step 6: Final answer
    x = 563.25

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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.