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Finding the Fourth Proportional to 711.86, 982.14 and 417.12

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Solution

The fourth proportional to 711.86, 982.14 and 417.12 is: 575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 982.14 = 417.12 : x
  2. Step 2: Convert to fraction form
    711.86/982.14 = 417.12/x
  3. Step 3: Cross multiply
    711.86x = 982.14 × 417.12
  4. Step 4: Simplify right side
    711.86x = 409,670.24
  5. Step 5: Solve for x
    x = 409,670.24/711.86
  6. Step 6: Final answer
    x = 575.50

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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.