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Finding the Fourth Proportional to 512.04, 706.64 and 346.56

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Solution

The fourth proportional to 512.04, 706.64 and 346.56 is: 478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.04 : 706.64 = 346.56 : x
  2. Step 2: Convert to fraction form
    512.04/706.64 = 346.56/x
  3. Step 3: Cross multiply
    512.04x = 706.64 × 346.56
  4. Step 4: Simplify right side
    512.04x = 244,893.16
  5. Step 5: Solve for x
    x = 244,893.16/512.04
  6. Step 6: Final answer
    x = 478.27

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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.