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Finding the Fourth Proportional to 478.14, 659.23 and 408.07

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Solution

The fourth proportional to 478.14, 659.23 and 408.07 is: 562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.14 : 659.23 = 408.07 : x
  2. Step 2: Convert to fraction form
    478.14/659.23 = 408.07/x
  3. Step 3: Cross multiply
    478.14x = 659.23 × 408.07
  4. Step 4: Simplify right side
    478.14x = 269,011.99
  5. Step 5: Solve for x
    x = 269,011.99/478.14
  6. Step 6: Final answer
    x = 562.62

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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.