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Finding the Fourth Proportional to 511.63, 706.27 and 346.34

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Solution

The fourth proportional to 511.63, 706.27 and 346.34 is: 478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 706.27 = 346.34 : x
  2. Step 2: Convert to fraction form
    511.63/706.27 = 346.34/x
  3. Step 3: Cross multiply
    511.63x = 706.27 × 346.34
  4. Step 4: Simplify right side
    511.63x = 244,611.10
  5. Step 5: Solve for x
    x = 244,611.10/511.63
  6. Step 6: Final answer
    x = 478.10

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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.