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Finding the Fourth Proportional to 405.36, 559.08 and 301.68

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Solution

The fourth proportional to 405.36, 559.08 and 301.68 is: 416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 559.08 = 301.68 : x
  2. Step 2: Convert to fraction form
    405.36/559.08 = 301.68/x
  3. Step 3: Cross multiply
    405.36x = 559.08 × 301.68
  4. Step 4: Simplify right side
    405.36x = 168,663.25
  5. Step 5: Solve for x
    x = 168,663.25/405.36
  6. Step 6: Final answer
    x = 416.08

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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.