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Finding the Fourth Proportional to 523.36, 719.84 and 457.92

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Solution

The fourth proportional to 523.36, 719.84 and 457.92 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 719.84 = 457.92 : x
  2. Step 2: Convert to fraction form
    523.36/719.84 = 457.92/x
  3. Step 3: Cross multiply
    523.36x = 719.84 × 457.92
  4. Step 4: Simplify right side
    523.36x = 329,629.13
  5. Step 5: Solve for x
    x = 329,629.13/523.36
  6. Step 6: Final answer
    x = 629.83

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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.