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Finding the Fourth Proportional to 523.50, 722.64 and 316.50

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Solution

The fourth proportional to 523.50, 722.64 and 316.50 is: 436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 722.64 = 316.50 : x
  2. Step 2: Convert to fraction form
    523.50/722.64 = 316.50/x
  3. Step 3: Cross multiply
    523.50x = 722.64 × 316.50
  4. Step 4: Simplify right side
    523.50x = 228,715.56
  5. Step 5: Solve for x
    x = 228,715.56/523.50
  6. Step 6: Final answer
    x = 436.90

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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.