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Finding the Fourth Proportional to 351.54, 524.34 and 297.06

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Solution

The fourth proportional to 351.54, 524.34 and 297.06 is: 443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.54 : 524.34 = 297.06 : x
  2. Step 2: Convert to fraction form
    351.54/524.34 = 297.06/x
  3. Step 3: Cross multiply
    351.54x = 524.34 × 297.06
  4. Step 4: Simplify right side
    351.54x = 155,760.44
  5. Step 5: Solve for x
    x = 155,760.44/351.54
  6. Step 6: Final answer
    x = 443.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.