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Finding the Fourth Proportional to 538.86, 811.44 and 471.18

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Solution

The fourth proportional to 538.86, 811.44 and 471.18 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 811.44 = 471.18 : x
  2. Step 2: Convert to fraction form
    538.86/811.44 = 471.18/x
  3. Step 3: Cross multiply
    538.86x = 811.44 × 471.18
  4. Step 4: Simplify right side
    538.86x = 382,334.30
  5. Step 5: Solve for x
    x = 382,334.30/538.86
  6. Step 6: Final answer
    x = 709.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.