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Finding the Fourth Proportional to 479.74, 661.85 and 283.21

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Solution

The fourth proportional to 479.74, 661.85 and 283.21 is: 390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.74 : 661.85 = 283.21 : x
  2. Step 2: Convert to fraction form
    479.74/661.85 = 283.21/x
  3. Step 3: Cross multiply
    479.74x = 661.85 × 283.21
  4. Step 4: Simplify right side
    479.74x = 187,442.54
  5. Step 5: Solve for x
    x = 187,442.54/479.74
  6. Step 6: Final answer
    x = 390.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.