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Finding the Fourth Proportional to 711.82, 982.50 and 417.22

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Solution

The fourth proportional to 711.82, 982.50 and 417.22 is: 575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.82 : 982.50 = 417.22 : x
  2. Step 2: Convert to fraction form
    711.82/982.50 = 417.22/x
  3. Step 3: Cross multiply
    711.82x = 982.50 × 417.22
  4. Step 4: Simplify right side
    711.82x = 409,918.65
  5. Step 5: Solve for x
    x = 409,918.65/711.82
  6. Step 6: Final answer
    x = 575.87

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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.