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Finding the Fourth Proportional to 479.42, 661.31 and 313.64

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Solution

The fourth proportional to 479.42, 661.31 and 313.64 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.42 : 661.31 = 313.64 : x
  2. Step 2: Convert to fraction form
    479.42/661.31 = 313.64/x
  3. Step 3: Cross multiply
    479.42x = 661.31 × 313.64
  4. Step 4: Simplify right side
    479.42x = 207,408.39
  5. Step 5: Solve for x
    x = 207,408.39/479.42
  6. Step 6: Final answer
    x = 432.62

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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.