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Finding the Fourth Proportional to 511.86, 706.20 and 315.34

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Solution

The fourth proportional to 511.86, 706.20 and 315.34 is: 435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 706.20 = 315.34 : x
  2. Step 2: Convert to fraction form
    511.86/706.20 = 315.34/x
  3. Step 3: Cross multiply
    511.86x = 706.20 × 315.34
  4. Step 4: Simplify right side
    511.86x = 222,690.16
  5. Step 5: Solve for x
    x = 222,690.16/511.86
  6. Step 6: Final answer
    x = 435.06

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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.