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Finding the Fourth Proportional to 711.72, 982.02 and 417.12

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Solution

The fourth proportional to 711.72, 982.02 and 417.12 is: 575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 982.02 = 417.12 : x
  2. Step 2: Convert to fraction form
    711.72/982.02 = 417.12/x
  3. Step 3: Cross multiply
    711.72x = 982.02 × 417.12
  4. Step 4: Simplify right side
    711.72x = 409,620.18
  5. Step 5: Solve for x
    x = 409,620.18/711.72
  6. Step 6: Final answer
    x = 575.54

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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.