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Finding the Fourth Proportional to 512.19, 706.59 and 346.55

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Solution

The fourth proportional to 512.19, 706.59 and 346.55 is: 478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 706.59 = 346.55 : x
  2. Step 2: Convert to fraction form
    512.19/706.59 = 346.55/x
  3. Step 3: Cross multiply
    512.19x = 706.59 × 346.55
  4. Step 4: Simplify right side
    512.19x = 244,865.23
  5. Step 5: Solve for x
    x = 244,865.23/512.19
  6. Step 6: Final answer
    x = 478.07

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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.