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Finding the Fourth Proportional to 523.38, 720.54 and 357.24

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Solution

The fourth proportional to 523.38, 720.54 and 357.24 is: 491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.38 : 720.54 = 357.24 : x
  2. Step 2: Convert to fraction form
    523.38/720.54 = 357.24/x
  3. Step 3: Cross multiply
    523.38x = 720.54 × 357.24
  4. Step 4: Simplify right side
    523.38x = 257,405.71
  5. Step 5: Solve for x
    x = 257,405.71/523.38
  6. Step 6: Final answer
    x = 491.81

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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.