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Finding the Fourth Proportional to 521.12, 779.88 and 377.12

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Solution

The fourth proportional to 521.12, 779.88 and 377.12 is: 564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 779.88 = 377.12 : x
  2. Step 2: Convert to fraction form
    521.12/779.88 = 377.12/x
  3. Step 3: Cross multiply
    521.12x = 779.88 × 377.12
  4. Step 4: Simplify right side
    521.12x = 294,108.35
  5. Step 5: Solve for x
    x = 294,108.35/521.12
  6. Step 6: Final answer
    x = 564.38

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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.