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Finding the Fourth Proportional to 511.90, 705.69 and 315.28

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Solution

The fourth proportional to 511.90, 705.69 and 315.28 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 705.69 = 315.28 : x
  2. Step 2: Convert to fraction form
    511.90/705.69 = 315.28/x
  3. Step 3: Cross multiply
    511.90x = 705.69 × 315.28
  4. Step 4: Simplify right side
    511.90x = 222,489.94
  5. Step 5: Solve for x
    x = 222,489.94/511.90
  6. Step 6: Final answer
    x = 434.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.