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Finding the Fourth Proportional to 466.75, 643.80 and 300.70

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Solution

The fourth proportional to 466.75, 643.80 and 300.70 is: 414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 643.80 = 300.70 : x
  2. Step 2: Convert to fraction form
    466.75/643.80 = 300.70/x
  3. Step 3: Cross multiply
    466.75x = 643.80 × 300.70
  4. Step 4: Simplify right side
    466.75x = 193,590.66
  5. Step 5: Solve for x
    x = 193,590.66/466.75
  6. Step 6: Final answer
    x = 414.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.