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Finding the Fourth Proportional to 383.08, 525.77 and 340.68

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Solution

The fourth proportional to 383.08, 525.77 and 340.68 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.08 : 525.77 = 340.68 : x
  2. Step 2: Convert to fraction form
    383.08/525.77 = 340.68/x
  3. Step 3: Cross multiply
    383.08x = 525.77 × 340.68
  4. Step 4: Simplify right side
    383.08x = 179,119.32
  5. Step 5: Solve for x
    x = 179,119.32/383.08
  6. Step 6: Final answer
    x = 467.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.