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Finding the Fourth Proportional to 478.27, 659.77 and 322.75

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Solution

The fourth proportional to 478.27, 659.77 and 322.75 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.27 : 659.77 = 322.75 : x
  2. Step 2: Convert to fraction form
    478.27/659.77 = 322.75/x
  3. Step 3: Cross multiply
    478.27x = 659.77 × 322.75
  4. Step 4: Simplify right side
    478.27x = 212,940.77
  5. Step 5: Solve for x
    x = 212,940.77/478.27
  6. Step 6: Final answer
    x = 445.23

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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.