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Finding the Fourth Proportional to 711.87, 982.25 and 417.14

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Solution

The fourth proportional to 711.87, 982.25 and 417.14 is: 575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.87 : 982.25 = 417.14 : x
  2. Step 2: Convert to fraction form
    711.87/982.25 = 417.14/x
  3. Step 3: Cross multiply
    711.87x = 982.25 × 417.14
  4. Step 4: Simplify right side
    711.87x = 409,733.68
  5. Step 5: Solve for x
    x = 409,733.68/711.87
  6. Step 6: Final answer
    x = 575.58

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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.