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Finding the Fourth Proportional to 511.68, 705.78 and 334.56

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Solution

The fourth proportional to 511.68, 705.78 and 334.56 is: 461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 705.78 = 334.56 : x
  2. Step 2: Convert to fraction form
    511.68/705.78 = 334.56/x
  3. Step 3: Cross multiply
    511.68x = 705.78 × 334.56
  4. Step 4: Simplify right side
    511.68x = 236,125.76
  5. Step 5: Solve for x
    x = 236,125.76/511.68
  6. Step 6: Final answer
    x = 461.47

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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.