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Finding the Fourth Proportional to 512.26, 707.04 and 346.43

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Solution

The fourth proportional to 512.26, 707.04 and 346.43 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 707.04 = 346.43 : x
  2. Step 2: Convert to fraction form
    512.26/707.04 = 346.43/x
  3. Step 3: Cross multiply
    512.26x = 707.04 × 346.43
  4. Step 4: Simplify right side
    512.26x = 244,941.63
  5. Step 5: Solve for x
    x = 244,941.63/512.26
  6. Step 6: Final answer
    x = 478.16

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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.