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Finding the Fourth Proportional to 477.28, 659.01 and 328.06

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Solution

The fourth proportional to 477.28, 659.01 and 328.06 is: 452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 659.01 = 328.06 : x
  2. Step 2: Convert to fraction form
    477.28/659.01 = 328.06/x
  3. Step 3: Cross multiply
    477.28x = 659.01 × 328.06
  4. Step 4: Simplify right side
    477.28x = 216,194.82
  5. Step 5: Solve for x
    x = 216,194.82/477.28
  6. Step 6: Final answer
    x = 452.97

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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.