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Finding the Fourth Proportional to 511.34, 705.38 and 314.51

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Solution

The fourth proportional to 511.34, 705.38 and 314.51 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 705.38 = 314.51 : x
  2. Step 2: Convert to fraction form
    511.34/705.38 = 314.51/x
  3. Step 3: Cross multiply
    511.34x = 705.38 × 314.51
  4. Step 4: Simplify right side
    511.34x = 221,843.96
  5. Step 5: Solve for x
    x = 221,843.96/511.34
  6. Step 6: Final answer
    x = 433.85

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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.