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Finding the Fourth Proportional to 527.31, 727.25 and 361.26

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Solution

The fourth proportional to 527.31, 727.25 and 361.26 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 727.25 = 361.26 : x
  2. Step 2: Convert to fraction form
    527.31/727.25 = 361.26/x
  3. Step 3: Cross multiply
    527.31x = 727.25 × 361.26
  4. Step 4: Simplify right side
    527.31x = 262,724.53
  5. Step 5: Solve for x
    x = 262,724.53/527.31
  6. Step 6: Final answer
    x = 498.24

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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.