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Finding the Fourth Proportional to 712.02, 982.43 and 417.33

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Solution

The fourth proportional to 712.02, 982.43 and 417.33 is: 575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 982.43 = 417.33 : x
  2. Step 2: Convert to fraction form
    712.02/982.43 = 417.33/x
  3. Step 3: Cross multiply
    712.02x = 982.43 × 417.33
  4. Step 4: Simplify right side
    712.02x = 409,995.43
  5. Step 5: Solve for x
    x = 409,995.43/712.02
  6. Step 6: Final answer
    x = 575.82

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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.