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Finding the Fourth Proportional to 476.13, 656.33 and 328.51

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Solution

The fourth proportional to 476.13, 656.33 and 328.51 is: 452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.13 : 656.33 = 328.51 : x
  2. Step 2: Convert to fraction form
    476.13/656.33 = 328.51/x
  3. Step 3: Cross multiply
    476.13x = 656.33 × 328.51
  4. Step 4: Simplify right side
    476.13x = 215,607.38
  5. Step 5: Solve for x
    x = 215,607.38/476.13
  6. Step 6: Final answer
    x = 452.83

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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.