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Finding the Fourth Proportional to 730.40, 1,094.90 and 364.82

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Solution

The fourth proportional to 730.40, 1,094.90 and 364.82 is: 546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,094.90 = 364.82 : x
  2. Step 2: Convert to fraction form
    730.40/1,094.90 = 364.82/x
  3. Step 3: Cross multiply
    730.40x = 1,094.90 × 364.82
  4. Step 4: Simplify right side
    730.40x = 399,441.42
  5. Step 5: Solve for x
    x = 399,441.42/730.40
  6. Step 6: Final answer
    x = 546.88

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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.