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Finding the Fourth Proportional to 425.60, 637.68 and 194.30

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Solution

The fourth proportional to 425.60, 637.68 and 194.30 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.60 : 637.68 = 194.30 : x
  2. Step 2: Convert to fraction form
    425.60/637.68 = 194.30/x
  3. Step 3: Cross multiply
    425.60x = 637.68 × 194.30
  4. Step 4: Simplify right side
    425.60x = 123,901.22
  5. Step 5: Solve for x
    x = 123,901.22/425.60
  6. Step 6: Final answer
    x = 291.12

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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.