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Finding the Fourth Proportional to 511.80, 705.90 and 380.76

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Solution

The fourth proportional to 511.80, 705.90 and 380.76 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 705.90 = 380.76 : x
  2. Step 2: Convert to fraction form
    511.80/705.90 = 380.76/x
  3. Step 3: Cross multiply
    511.80x = 705.90 × 380.76
  4. Step 4: Simplify right side
    511.80x = 268,778.48
  5. Step 5: Solve for x
    x = 268,778.48/511.80
  6. Step 6: Final answer
    x = 525.16

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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.