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Finding the Fourth Proportional to 341.56, 512.54 and 284.48

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Solution

The fourth proportional to 341.56, 512.54 and 284.48 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.56 : 512.54 = 284.48 : x
  2. Step 2: Convert to fraction form
    341.56/512.54 = 284.48/x
  3. Step 3: Cross multiply
    341.56x = 512.54 × 284.48
  4. Step 4: Simplify right side
    341.56x = 145,807.38
  5. Step 5: Solve for x
    x = 145,807.38/341.56
  6. Step 6: Final answer
    x = 426.89

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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.