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Finding the Fourth Proportional to 469.43, 704.14 and 457.81

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Solution

The fourth proportional to 469.43, 704.14 and 457.81 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.43 : 704.14 = 457.81 : x
  2. Step 2: Convert to fraction form
    469.43/704.14 = 457.81/x
  3. Step 3: Cross multiply
    469.43x = 704.14 × 457.81
  4. Step 4: Simplify right side
    469.43x = 322,362.33
  5. Step 5: Solve for x
    x = 322,362.33/469.43
  6. Step 6: Final answer
    x = 686.71

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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.