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Finding the Fourth Proportional to 384.41, 530.26 and 226.98

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Solution

The fourth proportional to 384.41, 530.26 and 226.98 is: 313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.41 : 530.26 = 226.98 : x
  2. Step 2: Convert to fraction form
    384.41/530.26 = 226.98/x
  3. Step 3: Cross multiply
    384.41x = 530.26 × 226.98
  4. Step 4: Simplify right side
    384.41x = 120,357.85
  5. Step 5: Solve for x
    x = 120,357.85/384.41
  6. Step 6: Final answer
    x = 313.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.