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Finding the Fourth Proportional to 466.41, 643.70 and 301.10

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Solution

The fourth proportional to 466.41, 643.70 and 301.10 is: 415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 643.70 = 301.10 : x
  2. Step 2: Convert to fraction form
    466.41/643.70 = 301.10/x
  3. Step 3: Cross multiply
    466.41x = 643.70 × 301.10
  4. Step 4: Simplify right side
    466.41x = 193,818.07
  5. Step 5: Solve for x
    x = 193,818.07/466.41
  6. Step 6: Final answer
    x = 415.56

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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.