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Finding the Fourth Proportional to 479.14, 661.35 and 313.54

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Solution

The fourth proportional to 479.14, 661.35 and 313.54 is: 432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.14 : 661.35 = 313.54 : x
  2. Step 2: Convert to fraction form
    479.14/661.35 = 313.54/x
  3. Step 3: Cross multiply
    479.14x = 661.35 × 313.54
  4. Step 4: Simplify right side
    479.14x = 207,359.68
  5. Step 5: Solve for x
    x = 207,359.68/479.14
  6. Step 6: Final answer
    x = 432.77

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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.