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Finding the Fourth Proportional to 523.80, 721.80 and 383.64

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Solution

The fourth proportional to 523.80, 721.80 and 383.64 is: 528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 721.80 = 383.64 : x
  2. Step 2: Convert to fraction form
    523.80/721.80 = 383.64/x
  3. Step 3: Cross multiply
    523.80x = 721.80 × 383.64
  4. Step 4: Simplify right side
    523.80x = 276,911.35
  5. Step 5: Solve for x
    x = 276,911.35/523.80
  6. Step 6: Final answer
    x = 528.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.