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Finding the Fourth Proportional to 420.39, 630.39 and 160.44

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Solution

The fourth proportional to 420.39, 630.39 and 160.44 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.39 : 630.39 = 160.44 : x
  2. Step 2: Convert to fraction form
    420.39/630.39 = 160.44/x
  3. Step 3: Cross multiply
    420.39x = 630.39 × 160.44
  4. Step 4: Simplify right side
    420.39x = 101,139.77
  5. Step 5: Solve for x
    x = 101,139.77/420.39
  6. Step 6: Final answer
    x = 240.59

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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.