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Finding the Fourth Proportional to 511.84, 706.62 and 395.74

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Solution

The fourth proportional to 511.84, 706.62 and 395.74 is: 546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 706.62 = 395.74 : x
  2. Step 2: Convert to fraction form
    511.84/706.62 = 395.74/x
  3. Step 3: Cross multiply
    511.84x = 706.62 × 395.74
  4. Step 4: Simplify right side
    511.84x = 279,637.80
  5. Step 5: Solve for x
    x = 279,637.80/511.84
  6. Step 6: Final answer
    x = 546.34

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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.