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Finding the Fourth Proportional to 512.33, 706.97 and 346.51

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Solution

The fourth proportional to 512.33, 706.97 and 346.51 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.33 : 706.97 = 346.51 : x
  2. Step 2: Convert to fraction form
    512.33/706.97 = 346.51/x
  3. Step 3: Cross multiply
    512.33x = 706.97 × 346.51
  4. Step 4: Simplify right side
    512.33x = 244,966.91
  5. Step 5: Solve for x
    x = 244,966.91/512.33
  6. Step 6: Final answer
    x = 478.14

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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.