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Finding the Fourth Proportional to 424.67, 635.67 and 270.77

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Solution

The fourth proportional to 424.67, 635.67 and 270.77 is: 405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.67 : 635.67 = 270.77 : x
  2. Step 2: Convert to fraction form
    424.67/635.67 = 270.77/x
  3. Step 3: Cross multiply
    424.67x = 635.67 × 270.77
  4. Step 4: Simplify right side
    424.67x = 172,117.19
  5. Step 5: Solve for x
    x = 172,117.19/424.67
  6. Step 6: Final answer
    x = 405.30

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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.