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Finding the Fourth Proportional to 511.77, 706.71 and 380.55

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Solution

The fourth proportional to 511.77, 706.71 and 380.55 is: 525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.77 : 706.71 = 380.55 : x
  2. Step 2: Convert to fraction form
    511.77/706.71 = 380.55/x
  3. Step 3: Cross multiply
    511.77x = 706.71 × 380.55
  4. Step 4: Simplify right side
    511.77x = 268,938.49
  5. Step 5: Solve for x
    x = 268,938.49/511.77
  6. Step 6: Final answer
    x = 525.51

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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.