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Finding the Fourth Proportional to 473.10, 704.64 and 452.04

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Solution

The fourth proportional to 473.10, 704.64 and 452.04 is: 673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 704.64 = 452.04 : x
  2. Step 2: Convert to fraction form
    473.10/704.64 = 452.04/x
  3. Step 3: Cross multiply
    473.10x = 704.64 × 452.04
  4. Step 4: Simplify right side
    473.10x = 318,525.47
  5. Step 5: Solve for x
    x = 318,525.47/473.10
  6. Step 6: Final answer
    x = 673.27

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