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Finding the Fourth Proportional to 704.99, 973.10 and 456.31

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Solution

The fourth proportional to 704.99, 973.10 and 456.31 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.99 : 973.10 = 456.31 : x
  2. Step 2: Convert to fraction form
    704.99/973.10 = 456.31/x
  3. Step 3: Cross multiply
    704.99x = 973.10 × 456.31
  4. Step 4: Simplify right side
    704.99x = 444,035.26
  5. Step 5: Solve for x
    x = 444,035.26/704.99
  6. Step 6: Final answer
    x = 629.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.