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Finding the Fourth Proportional to 511.84, 766.59 and 471.88

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Solution

The fourth proportional to 511.84, 766.59 and 471.88 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 766.59 = 471.88 : x
  2. Step 2: Convert to fraction form
    511.84/766.59 = 471.88/x
  3. Step 3: Cross multiply
    511.84x = 766.59 × 471.88
  4. Step 4: Simplify right side
    511.84x = 361,738.49
  5. Step 5: Solve for x
    x = 361,738.49/511.84
  6. Step 6: Final answer
    x = 706.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.