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Finding the Fourth Proportional to 344.16, 478.14 and 340.80

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Solution

The fourth proportional to 344.16, 478.14 and 340.80 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.16 : 478.14 = 340.80 : x
  2. Step 2: Convert to fraction form
    344.16/478.14 = 340.80/x
  3. Step 3: Cross multiply
    344.16x = 478.14 × 340.80
  4. Step 4: Simplify right side
    344.16x = 162,950.11
  5. Step 5: Solve for x
    x = 162,950.11/344.16
  6. Step 6: Final answer
    x = 473.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.