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Finding the Fourth Proportional to 424.07, 636.54 and 284.83

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Solution

The fourth proportional to 424.07, 636.54 and 284.83 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.07 : 636.54 = 284.83 : x
  2. Step 2: Convert to fraction form
    424.07/636.54 = 284.83/x
  3. Step 3: Cross multiply
    424.07x = 636.54 × 284.83
  4. Step 4: Simplify right side
    424.07x = 181,305.69
  5. Step 5: Solve for x
    x = 181,305.69/424.07
  6. Step 6: Final answer
    x = 427.54

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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.