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Finding the Fourth Proportional to 465.54, 697.91 and 301.06

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Solution

The fourth proportional to 465.54, 697.91 and 301.06 is: 451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.54 : 697.91 = 301.06 : x
  2. Step 2: Convert to fraction form
    465.54/697.91 = 301.06/x
  3. Step 3: Cross multiply
    465.54x = 697.91 × 301.06
  4. Step 4: Simplify right side
    465.54x = 210,109.53
  5. Step 5: Solve for x
    x = 210,109.53/465.54
  6. Step 6: Final answer
    x = 451.32

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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.