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Finding the Fourth Proportional to 405.01, 608.13 and 231.88

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Solution

The fourth proportional to 405.01, 608.13 and 231.88 is: 348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.01 : 608.13 = 231.88 : x
  2. Step 2: Convert to fraction form
    405.01/608.13 = 231.88/x
  3. Step 3: Cross multiply
    405.01x = 608.13 × 231.88
  4. Step 4: Simplify right side
    405.01x = 141,010.47
  5. Step 5: Solve for x
    x = 141,010.47/405.01
  6. Step 6: Final answer
    x = 348.16

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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.