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Finding the Fourth Proportional to 377.72, 567.60 and 204.51

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Solution

The fourth proportional to 377.72, 567.60 and 204.51 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.72 : 567.60 = 204.51 : x
  2. Step 2: Convert to fraction form
    377.72/567.60 = 204.51/x
  3. Step 3: Cross multiply
    377.72x = 567.60 × 204.51
  4. Step 4: Simplify right side
    377.72x = 116,079.88
  5. Step 5: Solve for x
    x = 116,079.88/377.72
  6. Step 6: Final answer
    x = 307.32

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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.