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Finding the Fourth Proportional to 576.99, 795.96 and 380.57

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Solution

The fourth proportional to 576.99, 795.96 and 380.57 is: 524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.99 : 795.96 = 380.57 : x
  2. Step 2: Convert to fraction form
    576.99/795.96 = 380.57/x
  3. Step 3: Cross multiply
    576.99x = 795.96 × 380.57
  4. Step 4: Simplify right side
    576.99x = 302,914.52
  5. Step 5: Solve for x
    x = 302,914.52/576.99
  6. Step 6: Final answer
    x = 524.99

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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.