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Finding the Fourth Proportional to 377.58, 521.19 and 260.94

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Solution

The fourth proportional to 377.58, 521.19 and 260.94 is: 360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 521.19 = 260.94 : x
  2. Step 2: Convert to fraction form
    377.58/521.19 = 260.94/x
  3. Step 3: Cross multiply
    377.58x = 521.19 × 260.94
  4. Step 4: Simplify right side
    377.58x = 135,999.32
  5. Step 5: Solve for x
    x = 135,999.32/377.58
  6. Step 6: Final answer
    x = 360.19

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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.