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Finding the Fourth Proportional to 437.54, 602.55 and 409.73

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Solution

The fourth proportional to 437.54, 602.55 and 409.73 is: 564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.54 : 602.55 = 409.73 : x
  2. Step 2: Convert to fraction form
    437.54/602.55 = 409.73/x
  3. Step 3: Cross multiply
    437.54x = 602.55 × 409.73
  4. Step 4: Simplify right side
    437.54x = 246,882.81
  5. Step 5: Solve for x
    x = 246,882.81/437.54
  6. Step 6: Final answer
    x = 564.25

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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.