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Finding the Fourth Proportional to 526.82, 727.26 and 352.28

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Solution

The fourth proportional to 526.82, 727.26 and 352.28 is: 486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 727.26 = 352.28 : x
  2. Step 2: Convert to fraction form
    526.82/727.26 = 352.28/x
  3. Step 3: Cross multiply
    526.82x = 727.26 × 352.28
  4. Step 4: Simplify right side
    526.82x = 256,199.15
  5. Step 5: Solve for x
    x = 256,199.15/526.82
  6. Step 6: Final answer
    x = 486.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.