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Finding the Fourth Proportional to 511.49, 705.66 and 315.02

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Solution

The fourth proportional to 511.49, 705.66 and 315.02 is: 434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.49 : 705.66 = 315.02 : x
  2. Step 2: Convert to fraction form
    511.49/705.66 = 315.02/x
  3. Step 3: Cross multiply
    511.49x = 705.66 × 315.02
  4. Step 4: Simplify right side
    511.49x = 222,297.01
  5. Step 5: Solve for x
    x = 222,297.01/511.49
  6. Step 6: Final answer
    x = 434.61

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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.