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Finding the Fourth Proportional to 405.70, 611.28 and 367.22

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Solution

The fourth proportional to 405.70, 611.28 and 367.22 is: 553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.70 : 611.28 = 367.22 : x
  2. Step 2: Convert to fraction form
    405.70/611.28 = 367.22/x
  3. Step 3: Cross multiply
    405.70x = 611.28 × 367.22
  4. Step 4: Simplify right side
    405.70x = 224,475.77
  5. Step 5: Solve for x
    x = 224,475.77/405.70
  6. Step 6: Final answer
    x = 553.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.