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Finding the Fourth Proportional to 405.82, 560.06 and 306.06

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Solution

The fourth proportional to 405.82, 560.06 and 306.06 is: 422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 560.06 = 306.06 : x
  2. Step 2: Convert to fraction form
    405.82/560.06 = 306.06/x
  3. Step 3: Cross multiply
    405.82x = 560.06 × 306.06
  4. Step 4: Simplify right side
    405.82x = 171,409.07
  5. Step 5: Solve for x
    x = 171,409.07/405.82
  6. Step 6: Final answer
    x = 422.38

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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.