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Finding the Fourth Proportional to 344.54, 475.85 and 340.00

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Solution

The fourth proportional to 344.54, 475.85 and 340.00 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.54 : 475.85 = 340.00 : x
  2. Step 2: Convert to fraction form
    344.54/475.85 = 340.00/x
  3. Step 3: Cross multiply
    344.54x = 475.85 × 340.00
  4. Step 4: Simplify right side
    344.54x = 161,788.66
  5. Step 5: Solve for x
    x = 161,788.66/344.54
  6. Step 6: Final answer
    x = 469.58

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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.