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Finding the Fourth Proportional to 385.02, 577.53 and 382.14

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Solution

The fourth proportional to 385.02, 577.53 and 382.14 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.02 : 577.53 = 382.14 : x
  2. Step 2: Convert to fraction form
    385.02/577.53 = 382.14/x
  3. Step 3: Cross multiply
    385.02x = 577.53 × 382.14
  4. Step 4: Simplify right side
    385.02x = 220,697.31
  5. Step 5: Solve for x
    x = 220,697.31/385.02
  6. Step 6: Final answer
    x = 573.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.