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Finding the Fourth Proportional to 523.56, 722.58 and 316.56

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Solution

The fourth proportional to 523.56, 722.58 and 316.56 is: 436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 722.58 = 316.56 : x
  2. Step 2: Convert to fraction form
    523.56/722.58 = 316.56/x
  3. Step 3: Cross multiply
    523.56x = 722.58 × 316.56
  4. Step 4: Simplify right side
    523.56x = 228,739.92
  5. Step 5: Solve for x
    x = 228,739.92/523.56
  6. Step 6: Final answer
    x = 436.89

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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.