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Finding the Fourth Proportional to 504.50, 696.53 and 318.26

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Solution

The fourth proportional to 504.50, 696.53 and 318.26 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.50 : 696.53 = 318.26 : x
  2. Step 2: Convert to fraction form
    504.50/696.53 = 318.26/x
  3. Step 3: Cross multiply
    504.50x = 696.53 × 318.26
  4. Step 4: Simplify right side
    504.50x = 221,680.17
  5. Step 5: Solve for x
    x = 221,680.17/504.50
  6. Step 6: Final answer
    x = 439.41

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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.