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Finding the Fourth Proportional to 472.44, 704.67 and 458.04

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Solution

The fourth proportional to 472.44, 704.67 and 458.04 is: 683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 704.67 = 458.04 : x
  2. Step 2: Convert to fraction form
    472.44/704.67 = 458.04/x
  3. Step 3: Cross multiply
    472.44x = 704.67 × 458.04
  4. Step 4: Simplify right side
    472.44x = 322,767.05
  5. Step 5: Solve for x
    x = 322,767.05/472.44
  6. Step 6: Final answer
    x = 683.19

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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.