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Finding the Fourth Proportional to 354.42, 528.89 and 351.72

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Solution

The fourth proportional to 354.42, 528.89 and 351.72 is: 524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 528.89 = 351.72 : x
  2. Step 2: Convert to fraction form
    354.42/528.89 = 351.72/x
  3. Step 3: Cross multiply
    354.42x = 528.89 × 351.72
  4. Step 4: Simplify right side
    354.42x = 186,019.43
  5. Step 5: Solve for x
    x = 186,019.43/354.42
  6. Step 6: Final answer
    x = 524.86

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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.