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Finding the Fourth Proportional to 476.36, 656.93 and 310.51

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Solution

The fourth proportional to 476.36, 656.93 and 310.51 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.36 : 656.93 = 310.51 : x
  2. Step 2: Convert to fraction form
    476.36/656.93 = 310.51/x
  3. Step 3: Cross multiply
    476.36x = 656.93 × 310.51
  4. Step 4: Simplify right side
    476.36x = 203,983.33
  5. Step 5: Solve for x
    x = 203,983.33/476.36
  6. Step 6: Final answer
    x = 428.22

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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.