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Finding the Fourth Proportional to 511.04, 767.00 and 280.16

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Solution

The fourth proportional to 511.04, 767.00 and 280.16 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.04 : 767.00 = 280.16 : x
  2. Step 2: Convert to fraction form
    511.04/767.00 = 280.16/x
  3. Step 3: Cross multiply
    511.04x = 767.00 × 280.16
  4. Step 4: Simplify right side
    511.04x = 214,882.46
  5. Step 5: Solve for x
    x = 214,882.46/511.04
  6. Step 6: Final answer
    x = 420.48

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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.