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Finding the Fourth Proportional to 479.81, 661.82 and 314.16

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Solution

The fourth proportional to 479.81, 661.82 and 314.16 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.81 : 661.82 = 314.16 : x
  2. Step 2: Convert to fraction form
    479.81/661.82 = 314.16/x
  3. Step 3: Cross multiply
    479.81x = 661.82 × 314.16
  4. Step 4: Simplify right side
    479.81x = 207,915.80
  5. Step 5: Solve for x
    x = 207,915.80/479.81
  6. Step 6: Final answer
    x = 433.33

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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.