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Finding the Fourth Proportional to 576.60, 795.84 and 380.04

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Solution

The fourth proportional to 576.60, 795.84 and 380.04 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 795.84 = 380.04 : x
  2. Step 2: Convert to fraction form
    576.60/795.84 = 380.04/x
  3. Step 3: Cross multiply
    576.60x = 795.84 × 380.04
  4. Step 4: Simplify right side
    576.60x = 302,451.03
  5. Step 5: Solve for x
    x = 302,451.03/576.60
  6. Step 6: Final answer
    x = 524.54

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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.