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Finding the Fourth Proportional to 466.49, 699 and 295.13

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Solution

The fourth proportional to 466.49, 699 and 295.13 is: 442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.49 : 699 = 295.13 : x
  2. Step 2: Convert to fraction form
    466.49/699 = 295.13/x
  3. Step 3: Cross multiply
    466.49x = 699 × 295.13
  4. Step 4: Simplify right side
    466.49x = 206,292.38
  5. Step 5: Solve for x
    x = 206,292.38/466.49
  6. Step 6: Final answer
    x = 442.23

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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.