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Finding the Fourth Proportional to 523.14, 722.10 and 316.14

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Solution

The fourth proportional to 523.14, 722.10 and 316.14 is: 436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 722.10 = 316.14 : x
  2. Step 2: Convert to fraction form
    523.14/722.10 = 316.14/x
  3. Step 3: Cross multiply
    523.14x = 722.10 × 316.14
  4. Step 4: Simplify right side
    523.14x = 228,284.69
  5. Step 5: Solve for x
    x = 228,284.69/523.14
  6. Step 6: Final answer
    x = 436.37

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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.