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Finding the Fourth Proportional to 341.48, 511.48 and 337.80

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Solution

The fourth proportional to 341.48, 511.48 and 337.80 is: 505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 511.48 = 337.80 : x
  2. Step 2: Convert to fraction form
    341.48/511.48 = 337.80/x
  3. Step 3: Cross multiply
    341.48x = 511.48 × 337.80
  4. Step 4: Simplify right side
    341.48x = 172,777.94
  5. Step 5: Solve for x
    x = 172,777.94/341.48
  6. Step 6: Final answer
    x = 505.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.