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Finding the Fourth Proportional to 346.79, 479.46 and 263.77

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Solution

The fourth proportional to 346.79, 479.46 and 263.77 is: 364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.79 : 479.46 = 263.77 : x
  2. Step 2: Convert to fraction form
    346.79/479.46 = 263.77/x
  3. Step 3: Cross multiply
    346.79x = 479.46 × 263.77
  4. Step 4: Simplify right side
    346.79x = 126,467.16
  5. Step 5: Solve for x
    x = 126,467.16/346.79
  6. Step 6: Final answer
    x = 364.68

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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.