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Finding the Fourth Proportional to 527.49, 727.96 and 317.68

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Solution

The fourth proportional to 527.49, 727.96 and 317.68 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.49 : 727.96 = 317.68 : x
  2. Step 2: Convert to fraction form
    527.49/727.96 = 317.68/x
  3. Step 3: Cross multiply
    527.49x = 727.96 × 317.68
  4. Step 4: Simplify right side
    527.49x = 231,258.33
  5. Step 5: Solve for x
    x = 231,258.33/527.49
  6. Step 6: Final answer
    x = 438.41

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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.