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Finding the Fourth Proportional to 425.76, 638.64 and 295.05

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Solution

The fourth proportional to 425.76, 638.64 and 295.05 is: 442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.76 : 638.64 = 295.05 : x
  2. Step 2: Convert to fraction form
    425.76/638.64 = 295.05/x
  3. Step 3: Cross multiply
    425.76x = 638.64 × 295.05
  4. Step 4: Simplify right side
    425.76x = 188,430.73
  5. Step 5: Solve for x
    x = 188,430.73/425.76
  6. Step 6: Final answer
    x = 442.58

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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.