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Finding the Fourth Proportional to 477.13, 657.71 and 329.51

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Solution

The fourth proportional to 477.13, 657.71 and 329.51 is: 454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.13 : 657.71 = 329.51 : x
  2. Step 2: Convert to fraction form
    477.13/657.71 = 329.51/x
  3. Step 3: Cross multiply
    477.13x = 657.71 × 329.51
  4. Step 4: Simplify right side
    477.13x = 216,717.09
  5. Step 5: Solve for x
    x = 216,717.09/477.13
  6. Step 6: Final answer
    x = 454.21

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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.