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Finding the Fourth Proportional to 511.36, 705.92 and 380.16

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Solution

The fourth proportional to 511.36, 705.92 and 380.16 is: 524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 705.92 = 380.16 : x
  2. Step 2: Convert to fraction form
    511.36/705.92 = 380.16/x
  3. Step 3: Cross multiply
    511.36x = 705.92 × 380.16
  4. Step 4: Simplify right side
    511.36x = 268,362.55
  5. Step 5: Solve for x
    x = 268,362.55/511.36
  6. Step 6: Final answer
    x = 524.80

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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.