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Finding the Fourth Proportional to 512.85, 708.09 and 347.21

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Solution

The fourth proportional to 512.85, 708.09 and 347.21 is: 479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.85 : 708.09 = 347.21 : x
  2. Step 2: Convert to fraction form
    512.85/708.09 = 347.21/x
  3. Step 3: Cross multiply
    512.85x = 708.09 × 347.21
  4. Step 4: Simplify right side
    512.85x = 245,852.39
  5. Step 5: Solve for x
    x = 245,852.39/512.85
  6. Step 6: Final answer
    x = 479.38

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1.5x scale

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.