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Finding the Fourth Proportional to 511.68, 766.38 and 456.96

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Solution

The fourth proportional to 511.68, 766.38 and 456.96 is: 684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 766.38 = 456.96 : x
  2. Step 2: Convert to fraction form
    511.68/766.38 = 456.96/x
  3. Step 3: Cross multiply
    511.68x = 766.38 × 456.96
  4. Step 4: Simplify right side
    511.68x = 350,205.00
  5. Step 5: Solve for x
    x = 350,205.00/511.68
  6. Step 6: Final answer
    x = 684.42

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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.