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Finding the Fourth Proportional to 511.50, 705.90 and 315.06

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Solution

The fourth proportional to 511.50, 705.90 and 315.06 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 705.90 = 315.06 : x
  2. Step 2: Convert to fraction form
    511.50/705.90 = 315.06/x
  3. Step 3: Cross multiply
    511.50x = 705.90 × 315.06
  4. Step 4: Simplify right side
    511.50x = 222,400.85
  5. Step 5: Solve for x
    x = 222,400.85/511.50
  6. Step 6: Final answer
    x = 434.80

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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.