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Finding the Fourth Proportional to 405.50, 559.14 and 295.34

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Solution

The fourth proportional to 405.50, 559.14 and 295.34 is: 407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 559.14 = 295.34 : x
  2. Step 2: Convert to fraction form
    405.50/559.14 = 295.34/x
  3. Step 3: Cross multiply
    405.50x = 559.14 × 295.34
  4. Step 4: Simplify right side
    405.50x = 165,136.41
  5. Step 5: Solve for x
    x = 165,136.41/405.50
  6. Step 6: Final answer
    x = 407.24

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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.