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Finding the Fourth Proportional to 512.94, 706.86 and 478.32

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Solution

The fourth proportional to 512.94, 706.86 and 478.32 is: 659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 706.86 = 478.32 : x
  2. Step 2: Convert to fraction form
    512.94/706.86 = 478.32/x
  3. Step 3: Cross multiply
    512.94x = 706.86 × 478.32
  4. Step 4: Simplify right side
    512.94x = 338,102.62
  5. Step 5: Solve for x
    x = 338,102.62/512.94
  6. Step 6: Final answer
    x = 659.14

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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.