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Finding the Fourth Proportional to 576.22, 795.50 and 380.04

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Solution

The fourth proportional to 576.22, 795.50 and 380.04 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.22 : 795.50 = 380.04 : x
  2. Step 2: Convert to fraction form
    576.22/795.50 = 380.04/x
  3. Step 3: Cross multiply
    576.22x = 795.50 × 380.04
  4. Step 4: Simplify right side
    576.22x = 302,321.82
  5. Step 5: Solve for x
    x = 302,321.82/576.22
  6. Step 6: Final answer
    x = 524.66

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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.