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Finding the Fourth Proportional to 566.92, 782.60 and 370.36

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Solution

The fourth proportional to 566.92, 782.60 and 370.36 is: 511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 782.60 = 370.36 : x
  2. Step 2: Convert to fraction form
    566.92/782.60 = 370.36/x
  3. Step 3: Cross multiply
    566.92x = 782.60 × 370.36
  4. Step 4: Simplify right side
    566.92x = 289,843.74
  5. Step 5: Solve for x
    x = 289,843.74/566.92
  6. Step 6: Final answer
    x = 511.26

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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.