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Finding the Fourth Proportional to 566.36, 849.44 and 384.92

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Solution

The fourth proportional to 566.36, 849.44 and 384.92 is: 577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.36 : 849.44 = 384.92 : x
  2. Step 2: Convert to fraction form
    566.36/849.44 = 384.92/x
  3. Step 3: Cross multiply
    566.36x = 849.44 × 384.92
  4. Step 4: Simplify right side
    566.36x = 326,966.44
  5. Step 5: Solve for x
    x = 326,966.44/566.36
  6. Step 6: Final answer
    x = 577.31

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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.