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Finding the Fourth Proportional to 466.89, 703.10 and 406.76

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Solution

The fourth proportional to 466.89, 703.10 and 406.76 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.89 : 703.10 = 406.76 : x
  2. Step 2: Convert to fraction form
    466.89/703.10 = 406.76/x
  3. Step 3: Cross multiply
    466.89x = 703.10 × 406.76
  4. Step 4: Simplify right side
    466.89x = 285,987.41
  5. Step 5: Solve for x
    x = 285,987.41/466.89
  6. Step 6: Final answer
    x = 612.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.