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Finding the Fourth Proportional to 671.63, 924.62 and 584.28

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Solution

The fourth proportional to 671.63, 924.62 and 584.28 is: 804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.63 : 924.62 = 584.28 : x
  2. Step 2: Convert to fraction form
    671.63/924.62 = 584.28/x
  3. Step 3: Cross multiply
    671.63x = 924.62 × 584.28
  4. Step 4: Simplify right side
    671.63x = 540,234.05
  5. Step 5: Solve for x
    x = 540,234.05/671.63
  6. Step 6: Final answer
    x = 804.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.