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Finding the Fourth Proportional to 704.96, 972.83 and 410.33

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Solution

The fourth proportional to 704.96, 972.83 and 410.33 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.96 : 972.83 = 410.33 : x
  2. Step 2: Convert to fraction form
    704.96/972.83 = 410.33/x
  3. Step 3: Cross multiply
    704.96x = 972.83 × 410.33
  4. Step 4: Simplify right side
    704.96x = 399,174.42
  5. Step 5: Solve for x
    x = 399,174.42/704.96
  6. Step 6: Final answer
    x = 566.24

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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.