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Finding the Fourth Proportional to 478.66, 659.98 and 408.49

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Solution

The fourth proportional to 478.66, 659.98 and 408.49 is: 563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.66 : 659.98 = 408.49 : x
  2. Step 2: Convert to fraction form
    478.66/659.98 = 408.49/x
  3. Step 3: Cross multiply
    478.66x = 659.98 × 408.49
  4. Step 4: Simplify right side
    478.66x = 269,597.80
  5. Step 5: Solve for x
    x = 269,597.80/478.66
  6. Step 6: Final answer
    x = 563.24

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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.