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Finding the Fourth Proportional to 511.01, 766.74 and 316.31

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Solution

The fourth proportional to 511.01, 766.74 and 316.31 is: 474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.01 : 766.74 = 316.31 : x
  2. Step 2: Convert to fraction form
    511.01/766.74 = 316.31/x
  3. Step 3: Cross multiply
    511.01x = 766.74 × 316.31
  4. Step 4: Simplify right side
    511.01x = 242,523.70
  5. Step 5: Solve for x
    x = 242,523.70/511.01
  6. Step 6: Final answer
    x = 474.60

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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.