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Finding the Fourth Proportional to 420.48, 630.77 and 146.49

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Solution

The fourth proportional to 420.48, 630.77 and 146.49 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 630.77 = 146.49 : x
  2. Step 2: Convert to fraction form
    420.48/630.77 = 146.49/x
  3. Step 3: Cross multiply
    420.48x = 630.77 × 146.49
  4. Step 4: Simplify right side
    420.48x = 92,401.86
  5. Step 5: Solve for x
    x = 92,401.86/420.48
  6. Step 6: Final answer
    x = 219.75

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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.