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Finding the Fourth Proportional to 476.29, 657.31 and 279.83

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Solution

The fourth proportional to 476.29, 657.31 and 279.83 is: 386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.29 : 657.31 = 279.83 : x
  2. Step 2: Convert to fraction form
    476.29/657.31 = 279.83/x
  3. Step 3: Cross multiply
    476.29x = 657.31 × 279.83
  4. Step 4: Simplify right side
    476.29x = 183,933.66
  5. Step 5: Solve for x
    x = 183,933.66/476.29
  6. Step 6: Final answer
    x = 386.18

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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.