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Finding the Fourth Proportional to 485.49, 724.70 and 427.11

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Solution

The fourth proportional to 485.49, 724.70 and 427.11 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.49 : 724.70 = 427.11 : x
  2. Step 2: Convert to fraction form
    485.49/724.70 = 427.11/x
  3. Step 3: Cross multiply
    485.49x = 724.70 × 427.11
  4. Step 4: Simplify right side
    485.49x = 309,526.62
  5. Step 5: Solve for x
    x = 309,526.62/485.49
  6. Step 6: Final answer
    x = 637.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.