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Finding the Fourth Proportional to 577.56, 865.47 and 384.78

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Solution

The fourth proportional to 577.56, 865.47 and 384.78 is: 576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 865.47 = 384.78 : x
  2. Step 2: Convert to fraction form
    577.56/865.47 = 384.78/x
  3. Step 3: Cross multiply
    577.56x = 865.47 × 384.78
  4. Step 4: Simplify right side
    577.56x = 333,015.55
  5. Step 5: Solve for x
    x = 333,015.55/577.56
  6. Step 6: Final answer
    x = 576.59

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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.