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Finding the Fourth Proportional to 575.92, 794.84 and 380.31

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Solution

The fourth proportional to 575.92, 794.84 and 380.31 is: 524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 794.84 = 380.31 : x
  2. Step 2: Convert to fraction form
    575.92/794.84 = 380.31/x
  3. Step 3: Cross multiply
    575.92x = 794.84 × 380.31
  4. Step 4: Simplify right side
    575.92x = 302,285.60
  5. Step 5: Solve for x
    x = 302,285.60/575.92
  6. Step 6: Final answer
    x = 524.87

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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.