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Finding the Fourth Proportional to 511.42, 705.93 and 314.95

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Solution

The fourth proportional to 511.42, 705.93 and 314.95 is: 434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.42 : 705.93 = 314.95 : x
  2. Step 2: Convert to fraction form
    511.42/705.93 = 314.95/x
  3. Step 3: Cross multiply
    511.42x = 705.93 × 314.95
  4. Step 4: Simplify right side
    511.42x = 222,329.12
  5. Step 5: Solve for x
    x = 222,329.12/511.42
  6. Step 6: Final answer
    x = 434.73

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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.