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Finding the Fourth Proportional to 479.25, 661.06 and 282.83

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Solution

The fourth proportional to 479.25, 661.06 and 282.83 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.25 : 661.06 = 282.83 : x
  2. Step 2: Convert to fraction form
    479.25/661.06 = 282.83/x
  3. Step 3: Cross multiply
    479.25x = 661.06 × 282.83
  4. Step 4: Simplify right side
    479.25x = 186,964.65
  5. Step 5: Solve for x
    x = 186,964.65/479.25
  6. Step 6: Final answer
    x = 390.12

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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.