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Finding the Fourth Proportional to 772.40, 1,157.76 and 333.88

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Solution

The fourth proportional to 772.40, 1,157.76 and 333.88 is: 500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.40 : 1,157.76 = 333.88 : x
  2. Step 2: Convert to fraction form
    772.40/1,157.76 = 333.88/x
  3. Step 3: Cross multiply
    772.40x = 1,157.76 × 333.88
  4. Step 4: Simplify right side
    772.40x = 386,552.91
  5. Step 5: Solve for x
    x = 386,552.91/772.40
  6. Step 6: Final answer
    x = 500.46

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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.