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Finding the Fourth Proportional to 564.92, 779.64 and 482.00

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Solution

The fourth proportional to 564.92, 779.64 and 482.00 is: 665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 779.64 = 482.00 : x
  2. Step 2: Convert to fraction form
    564.92/779.64 = 482.00/x
  3. Step 3: Cross multiply
    564.92x = 779.64 × 482.00
  4. Step 4: Simplify right side
    564.92x = 375,782.58
  5. Step 5: Solve for x
    x = 375,782.58/564.92
  6. Step 6: Final answer
    x = 665.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.