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Finding the Fourth Proportional to 425.80, 637.66 and 295.46

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Solution

The fourth proportional to 425.80, 637.66 and 295.46 is: 442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.80 : 637.66 = 295.46 : x
  2. Step 2: Convert to fraction form
    425.80/637.66 = 295.46/x
  3. Step 3: Cross multiply
    425.80x = 637.66 × 295.46
  4. Step 4: Simplify right side
    425.80x = 188,403.02
  5. Step 5: Solve for x
    x = 188,403.02/425.80
  6. Step 6: Final answer
    x = 442.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.