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Finding the Fourth Proportional to 511.59, 767.59 and 219.16

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Solution

The fourth proportional to 511.59, 767.59 and 219.16 is: 328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.59 : 767.59 = 219.16 : x
  2. Step 2: Convert to fraction form
    511.59/767.59 = 219.16/x
  3. Step 3: Cross multiply
    511.59x = 767.59 × 219.16
  4. Step 4: Simplify right side
    511.59x = 168,225.02
  5. Step 5: Solve for x
    x = 168,225.02/511.59
  6. Step 6: Final answer
    x = 328.83

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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.