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Finding the Fourth Proportional to 479.64, 661.80 and 314.27

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Solution

The fourth proportional to 479.64, 661.80 and 314.27 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.64 : 661.80 = 314.27 : x
  2. Step 2: Convert to fraction form
    479.64/661.80 = 314.27/x
  3. Step 3: Cross multiply
    479.64x = 661.80 × 314.27
  4. Step 4: Simplify right side
    479.64x = 207,983.89
  5. Step 5: Solve for x
    x = 207,983.89/479.64
  6. Step 6: Final answer
    x = 433.62

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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.