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Finding the Fourth Proportional to 466.04, 698.64 and 301.07

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Solution

The fourth proportional to 466.04, 698.64 and 301.07 is: 451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 698.64 = 301.07 : x
  2. Step 2: Convert to fraction form
    466.04/698.64 = 301.07/x
  3. Step 3: Cross multiply
    466.04x = 698.64 × 301.07
  4. Step 4: Simplify right side
    466.04x = 210,339.54
  5. Step 5: Solve for x
    x = 210,339.54/466.04
  6. Step 6: Final answer
    x = 451.33

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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.