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Finding the Fourth Proportional to 409.02, 609.65 and 377.81

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Solution

The fourth proportional to 409.02, 609.65 and 377.81 is: 563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 609.65 = 377.81 : x
  2. Step 2: Convert to fraction form
    409.02/609.65 = 377.81/x
  3. Step 3: Cross multiply
    409.02x = 609.65 × 377.81
  4. Step 4: Simplify right side
    409.02x = 230,331.87
  5. Step 5: Solve for x
    x = 230,331.87/409.02
  6. Step 6: Final answer
    x = 563.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.