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Finding the Fourth Proportional to 566.80, 782.48 and 381.26

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Solution

The fourth proportional to 566.80, 782.48 and 381.26 is: 526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 782.48 = 381.26 : x
  2. Step 2: Convert to fraction form
    566.80/782.48 = 381.26/x
  3. Step 3: Cross multiply
    566.80x = 782.48 × 381.26
  4. Step 4: Simplify right side
    566.80x = 298,330.44
  5. Step 5: Solve for x
    x = 298,330.44/566.80
  6. Step 6: Final answer
    x = 526.34

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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.