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Finding the Fourth Proportional to 511.33, 766.08 and 214.18

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Solution

The fourth proportional to 511.33, 766.08 and 214.18 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.33 : 766.08 = 214.18 : x
  2. Step 2: Convert to fraction form
    511.33/766.08 = 214.18/x
  3. Step 3: Cross multiply
    511.33x = 766.08 × 214.18
  4. Step 4: Simplify right side
    511.33x = 164,077.76
  5. Step 5: Solve for x
    x = 164,077.76/511.33
  6. Step 6: Final answer
    x = 320.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.