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Finding the Fourth Proportional to 566.82, 782.58 and 367.92

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Solution

The fourth proportional to 566.82, 782.58 and 367.92 is: 507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 782.58 = 367.92 : x
  2. Step 2: Convert to fraction form
    566.82/782.58 = 367.92/x
  3. Step 3: Cross multiply
    566.82x = 782.58 × 367.92
  4. Step 4: Simplify right side
    566.82x = 287,926.83
  5. Step 5: Solve for x
    x = 287,926.83/566.82
  6. Step 6: Final answer
    x = 507.97

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Why These Related Problems?

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