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Finding the Fourth Proportional to 511.13, 705.15 and 314.30

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Solution

The fourth proportional to 511.13, 705.15 and 314.30 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.13 : 705.15 = 314.30 : x
  2. Step 2: Convert to fraction form
    511.13/705.15 = 314.30/x
  3. Step 3: Cross multiply
    511.13x = 705.15 × 314.30
  4. Step 4: Simplify right side
    511.13x = 221,628.65
  5. Step 5: Solve for x
    x = 221,628.65/511.13
  6. Step 6: Final answer
    x = 433.61

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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.