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Finding the Fourth Proportional to 523.65, 723.57 and 376.03

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Solution

The fourth proportional to 523.65, 723.57 and 376.03 is: 519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.65 : 723.57 = 376.03 : x
  2. Step 2: Convert to fraction form
    523.65/723.57 = 376.03/x
  3. Step 3: Cross multiply
    523.65x = 723.57 × 376.03
  4. Step 4: Simplify right side
    523.65x = 272,080.41
  5. Step 5: Solve for x
    x = 272,080.41/523.65
  6. Step 6: Final answer
    x = 519.59

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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.