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Finding the Fourth Proportional to 405.05, 559.43 and 295.02

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Solution

The fourth proportional to 405.05, 559.43 and 295.02 is: 407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.05 : 559.43 = 295.02 : x
  2. Step 2: Convert to fraction form
    405.05/559.43 = 295.02/x
  3. Step 3: Cross multiply
    405.05x = 559.43 × 295.02
  4. Step 4: Simplify right side
    405.05x = 165,043.04
  5. Step 5: Solve for x
    x = 165,043.04/405.05
  6. Step 6: Final answer
    x = 407.46

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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.