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Finding the Fourth Proportional to 479.64, 661.61 and 401.41

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Solution

The fourth proportional to 479.64, 661.61 and 401.41 is: 553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.64 : 661.61 = 401.41 : x
  2. Step 2: Convert to fraction form
    479.64/661.61 = 401.41/x
  3. Step 3: Cross multiply
    479.64x = 661.61 × 401.41
  4. Step 4: Simplify right side
    479.64x = 265,578.77
  5. Step 5: Solve for x
    x = 265,578.77/479.64
  6. Step 6: Final answer
    x = 553.70

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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.