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Finding the Fourth Proportional to 523, 782.70 and 376.42

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Solution

The fourth proportional to 523, 782.70 and 376.42 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 782.70 = 376.42 : x
  2. Step 2: Convert to fraction form
    523/782.70 = 376.42/x
  3. Step 3: Cross multiply
    523x = 782.70 × 376.42
  4. Step 4: Simplify right side
    523x = 294,623.93
  5. Step 5: Solve for x
    x = 294,623.93/523
  6. Step 6: Final answer
    x = 563.33

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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.