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Finding the Fourth Proportional to 423.22, 635 and 240.77

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Solution

The fourth proportional to 423.22, 635 and 240.77 is: 361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.22 : 635 = 240.77 : x
  2. Step 2: Convert to fraction form
    423.22/635 = 240.77/x
  3. Step 3: Cross multiply
    423.22x = 635 × 240.77
  4. Step 4: Simplify right side
    423.22x = 152,888.95
  5. Step 5: Solve for x
    x = 152,888.95/423.22
  6. Step 6: Final answer
    x = 361.25

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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.