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Finding the Fourth Proportional to 420.63, 630.82 and 160.45

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Solution

The fourth proportional to 420.63, 630.82 and 160.45 is: 240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.63 : 630.82 = 160.45 : x
  2. Step 2: Convert to fraction form
    420.63/630.82 = 160.45/x
  3. Step 3: Cross multiply
    420.63x = 630.82 × 160.45
  4. Step 4: Simplify right side
    420.63x = 101,213.69
  5. Step 5: Solve for x
    x = 101,213.69/420.63
  6. Step 6: Final answer
    x = 240.63

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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.