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Finding the Fourth Proportional to 671.60, 926.52 and 438.32

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Solution

The fourth proportional to 671.60, 926.52 and 438.32 is: 604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 926.52 = 438.32 : x
  2. Step 2: Convert to fraction form
    671.60/926.52 = 438.32/x
  3. Step 3: Cross multiply
    671.60x = 926.52 × 438.32
  4. Step 4: Simplify right side
    671.60x = 406,112.25
  5. Step 5: Solve for x
    x = 406,112.25/671.60
  6. Step 6: Final answer
    x = 604.69

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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.