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Finding the Fourth Proportional to 389.21, 578.98 and 385.29

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Solution

The fourth proportional to 389.21, 578.98 and 385.29 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.21 : 578.98 = 385.29 : x
  2. Step 2: Convert to fraction form
    389.21/578.98 = 385.29/x
  3. Step 3: Cross multiply
    389.21x = 578.98 × 385.29
  4. Step 4: Simplify right side
    389.21x = 223,075.69
  5. Step 5: Solve for x
    x = 223,075.69/389.21
  6. Step 6: Final answer
    x = 573.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.