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Finding the Fourth Proportional to 523.40, 723.23 and 375.77

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Solution

The fourth proportional to 523.40, 723.23 and 375.77 is: 519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 723.23 = 375.77 : x
  2. Step 2: Convert to fraction form
    523.40/723.23 = 375.77/x
  3. Step 3: Cross multiply
    523.40x = 723.23 × 375.77
  4. Step 4: Simplify right side
    523.40x = 271,768.07
  5. Step 5: Solve for x
    x = 271,768.07/523.40
  6. Step 6: Final answer
    x = 519.24

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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.