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Finding the Fourth Proportional to 426.73, 639.54 and 416

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Solution

The fourth proportional to 426.73, 639.54 and 416 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.73 : 639.54 = 416 : x
  2. Step 2: Convert to fraction form
    426.73/639.54 = 416/x
  3. Step 3: Cross multiply
    426.73x = 639.54 × 416
  4. Step 4: Simplify right side
    426.73x = 266,048.64
  5. Step 5: Solve for x
    x = 266,048.64/426.73
  6. Step 6: Final answer
    x = 623.46

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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.