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Finding the Fourth Proportional to 523.29, 787.55 and 393.96

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Solution

The fourth proportional to 523.29, 787.55 and 393.96 is: 592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.29 : 787.55 = 393.96 : x
  2. Step 2: Convert to fraction form
    523.29/787.55 = 393.96/x
  3. Step 3: Cross multiply
    523.29x = 787.55 × 393.96
  4. Step 4: Simplify right side
    523.29x = 310,261.23
  5. Step 5: Solve for x
    x = 310,261.23/523.29
  6. Step 6: Final answer
    x = 592.90

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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.