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Finding the Fourth Proportional to 511.58, 705.75 and 315.20

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Solution

The fourth proportional to 511.58, 705.75 and 315.20 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.58 : 705.75 = 315.20 : x
  2. Step 2: Convert to fraction form
    511.58/705.75 = 315.20/x
  3. Step 3: Cross multiply
    511.58x = 705.75 × 315.20
  4. Step 4: Simplify right side
    511.58x = 222,452.40
  5. Step 5: Solve for x
    x = 222,452.40/511.58
  6. Step 6: Final answer
    x = 434.83

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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.