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Finding the Fourth Proportional to 351.40, 527.02 and 334.06

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Solution

The fourth proportional to 351.40, 527.02 and 334.06 is: 501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.40 : 527.02 = 334.06 : x
  2. Step 2: Convert to fraction form
    351.40/527.02 = 334.06/x
  3. Step 3: Cross multiply
    351.40x = 527.02 × 334.06
  4. Step 4: Simplify right side
    351.40x = 176,056.30
  5. Step 5: Solve for x
    x = 176,056.30/351.40
  6. Step 6: Final answer
    x = 501.01

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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.