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Finding the Fourth Proportional to 437.68, 602.21 and 378.48

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Solution

The fourth proportional to 437.68, 602.21 and 378.48 is: 520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.68 : 602.21 = 378.48 : x
  2. Step 2: Convert to fraction form
    437.68/602.21 = 378.48/x
  3. Step 3: Cross multiply
    437.68x = 602.21 × 378.48
  4. Step 4: Simplify right side
    437.68x = 227,922.07
  5. Step 5: Solve for x
    x = 227,922.07/437.68
  6. Step 6: Final answer
    x = 520.75

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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.