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Finding the Fourth Proportional to 511.83, 706.11 and 315.24

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Solution

The fourth proportional to 511.83, 706.11 and 315.24 is: 434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.83 : 706.11 = 315.24 : x
  2. Step 2: Convert to fraction form
    511.83/706.11 = 315.24/x
  3. Step 3: Cross multiply
    511.83x = 706.11 × 315.24
  4. Step 4: Simplify right side
    511.83x = 222,594.12
  5. Step 5: Solve for x
    x = 222,594.12/511.83
  6. Step 6: Final answer
    x = 434.90

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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.