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Finding the Fourth Proportional to 523.44, 722.24 and 316.40

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Solution

The fourth proportional to 523.44, 722.24 and 316.40 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 722.24 = 316.40 : x
  2. Step 2: Convert to fraction form
    523.44/722.24 = 316.40/x
  3. Step 3: Cross multiply
    523.44x = 722.24 × 316.40
  4. Step 4: Simplify right side
    523.44x = 228,516.74
  5. Step 5: Solve for x
    x = 228,516.74/523.44
  6. Step 6: Final answer
    x = 436.57

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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.