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Finding the Fourth Proportional to 566.40, 849 and 257.88

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Solution

The fourth proportional to 566.40, 849 and 257.88 is: 386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 849 = 257.88 : x
  2. Step 2: Convert to fraction form
    566.40/849 = 257.88/x
  3. Step 3: Cross multiply
    566.40x = 849 × 257.88
  4. Step 4: Simplify right side
    566.40x = 218,940.12
  5. Step 5: Solve for x
    x = 218,940.12/566.40
  6. Step 6: Final answer
    x = 386.55

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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.