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Finding the Fourth Proportional to 511.48, 705.74 and 314.96

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Solution

The fourth proportional to 511.48, 705.74 and 314.96 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.48 : 705.74 = 314.96 : x
  2. Step 2: Convert to fraction form
    511.48/705.74 = 314.96/x
  3. Step 3: Cross multiply
    511.48x = 705.74 × 314.96
  4. Step 4: Simplify right side
    511.48x = 222,275.65
  5. Step 5: Solve for x
    x = 222,275.65/511.48
  6. Step 6: Final answer
    x = 434.57

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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.