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Finding the Fourth Proportional to 523.50, 721.72 and 434.66

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Solution

The fourth proportional to 523.50, 721.72 and 434.66 is: 599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 721.72 = 434.66 : x
  2. Step 2: Convert to fraction form
    523.50/721.72 = 434.66/x
  3. Step 3: Cross multiply
    523.50x = 721.72 × 434.66
  4. Step 4: Simplify right side
    523.50x = 313,699.92
  5. Step 5: Solve for x
    x = 313,699.92/523.50
  6. Step 6: Final answer
    x = 599.24

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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.