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Finding the Fourth Proportional to 523.08, 722.36 and 399.60

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Solution

The fourth proportional to 523.08, 722.36 and 399.60 is: 551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 722.36 = 399.60 : x
  2. Step 2: Convert to fraction form
    523.08/722.36 = 399.60/x
  3. Step 3: Cross multiply
    523.08x = 722.36 × 399.60
  4. Step 4: Simplify right side
    523.08x = 288,655.06
  5. Step 5: Solve for x
    x = 288,655.06/523.08
  6. Step 6: Final answer
    x = 551.84

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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.