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Finding the Fourth Proportional to 523.04, 721.55 and 313.23

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Solution

The fourth proportional to 523.04, 721.55 and 313.23 is: 432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 721.55 = 313.23 : x
  2. Step 2: Convert to fraction form
    523.04/721.55 = 313.23/x
  3. Step 3: Cross multiply
    523.04x = 721.55 × 313.23
  4. Step 4: Simplify right side
    523.04x = 226,009.54
  5. Step 5: Solve for x
    x = 226,009.54/523.04
  6. Step 6: Final answer
    x = 432.11

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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.