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Finding the Fourth Proportional to 511.41, 766.84 and 365.08

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Solution

The fourth proportional to 511.41, 766.84 and 365.08 is: 547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.41 : 766.84 = 365.08 : x
  2. Step 2: Convert to fraction form
    511.41/766.84 = 365.08/x
  3. Step 3: Cross multiply
    511.41x = 766.84 × 365.08
  4. Step 4: Simplify right side
    511.41x = 279,957.95
  5. Step 5: Solve for x
    x = 279,957.95/511.41
  6. Step 6: Final answer
    x = 547.42

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Double scale
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Similar ratio
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1.5x scale

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.