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Finding the Fourth Proportional to 410.49, 566.09 and 305.84

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Solution

The fourth proportional to 410.49, 566.09 and 305.84 is: 421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 566.09 = 305.84 : x
  2. Step 2: Convert to fraction form
    410.49/566.09 = 305.84/x
  3. Step 3: Cross multiply
    410.49x = 566.09 × 305.84
  4. Step 4: Simplify right side
    410.49x = 173,130.90
  5. Step 5: Solve for x
    x = 173,130.90/410.49
  6. Step 6: Final answer
    x = 421.77

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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.