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Finding the Fourth Proportional to 437.19, 602.73 and 374.75

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Solution

The fourth proportional to 437.19, 602.73 and 374.75 is: 516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.19 : 602.73 = 374.75 : x
  2. Step 2: Convert to fraction form
    437.19/602.73 = 374.75/x
  3. Step 3: Cross multiply
    437.19x = 602.73 × 374.75
  4. Step 4: Simplify right side
    437.19x = 225,873.07
  5. Step 5: Solve for x
    x = 225,873.07/437.19
  6. Step 6: Final answer
    x = 516.65

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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.