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Finding the Fourth Proportional to 512.39, 707.07 and 346.34

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Solution

The fourth proportional to 512.39, 707.07 and 346.34 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.39 : 707.07 = 346.34 : x
  2. Step 2: Convert to fraction form
    512.39/707.07 = 346.34/x
  3. Step 3: Cross multiply
    512.39x = 707.07 × 346.34
  4. Step 4: Simplify right side
    512.39x = 244,884.89
  5. Step 5: Solve for x
    x = 244,884.89/512.39
  6. Step 6: Final answer
    x = 477.93

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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.