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Finding the Fourth Proportional to 712.10, 982.37 and 417.19

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Solution

The fourth proportional to 712.10, 982.37 and 417.19 is: 575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.10 : 982.37 = 417.19 : x
  2. Step 2: Convert to fraction form
    712.10/982.37 = 417.19/x
  3. Step 3: Cross multiply
    712.10x = 982.37 × 417.19
  4. Step 4: Simplify right side
    712.10x = 409,833.53
  5. Step 5: Solve for x
    x = 409,833.53/712.10
  6. Step 6: Final answer
    x = 575.53

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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.