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Finding the Fourth Proportional to 901.80, 1,351.96 and 415.16

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Solution

The fourth proportional to 901.80, 1,351.96 and 415.16 is: 622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.80 : 1,351.96 = 415.16 : x
  2. Step 2: Convert to fraction form
    901.80/1,351.96 = 415.16/x
  3. Step 3: Cross multiply
    901.80x = 1,351.96 × 415.16
  4. Step 4: Simplify right side
    901.80x = 561,279.71
  5. Step 5: Solve for x
    x = 561,279.71/901.80
  6. Step 6: Final answer
    x = 622.40

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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.