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Finding the Fourth Proportional to 565.43, 848.31 and 257.03

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Solution

The fourth proportional to 565.43, 848.31 and 257.03 is: 385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 848.31 = 257.03 : x
  2. Step 2: Convert to fraction form
    565.43/848.31 = 257.03/x
  3. Step 3: Cross multiply
    565.43x = 848.31 × 257.03
  4. Step 4: Simplify right side
    565.43x = 218,040.07
  5. Step 5: Solve for x
    x = 218,040.07/565.43
  6. Step 6: Final answer
    x = 385.62

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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.