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Finding the Fourth Proportional to 479.77, 661.44 and 346.88

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Solution

The fourth proportional to 479.77, 661.44 and 346.88 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.77 : 661.44 = 346.88 : x
  2. Step 2: Convert to fraction form
    479.77/661.44 = 346.88/x
  3. Step 3: Cross multiply
    479.77x = 661.44 × 346.88
  4. Step 4: Simplify right side
    479.77x = 229,443.26
  5. Step 5: Solve for x
    x = 229,443.26/479.77
  6. Step 6: Final answer
    x = 478.24

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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.