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Finding the Fourth Proportional to 457.48, 690.37 and 443.80

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Solution

The fourth proportional to 457.48, 690.37 and 443.80 is: 669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.48 : 690.37 = 443.80 : x
  2. Step 2: Convert to fraction form
    457.48/690.37 = 443.80/x
  3. Step 3: Cross multiply
    457.48x = 690.37 × 443.80
  4. Step 4: Simplify right side
    457.48x = 306,386.21
  5. Step 5: Solve for x
    x = 306,386.21/457.48
  6. Step 6: Final answer
    x = 669.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.