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Finding the Fourth Proportional to 523.04, 721.36 and 471.84

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Solution

The fourth proportional to 523.04, 721.36 and 471.84 is: 650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 721.36 = 471.84 : x
  2. Step 2: Convert to fraction form
    523.04/721.36 = 471.84/x
  3. Step 3: Cross multiply
    523.04x = 721.36 × 471.84
  4. Step 4: Simplify right side
    523.04x = 340,366.50
  5. Step 5: Solve for x
    x = 340,366.50/523.04
  6. Step 6: Final answer
    x = 650.75

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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.