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Finding the Fourth Proportional to 901.72, 1,351.50 and 414.64

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Solution

The fourth proportional to 901.72, 1,351.50 and 414.64 is: 621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.72 : 1,351.50 = 414.64 : x
  2. Step 2: Convert to fraction form
    901.72/1,351.50 = 414.64/x
  3. Step 3: Cross multiply
    901.72x = 1,351.50 × 414.64
  4. Step 4: Simplify right side
    901.72x = 560,385.96
  5. Step 5: Solve for x
    x = 560,385.96/901.72
  6. Step 6: Final answer
    x = 621.46

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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.