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Finding the Fourth Proportional to 467.56, 701.75 and 352.14

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Solution

The fourth proportional to 467.56, 701.75 and 352.14 is: 528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.56 : 701.75 = 352.14 : x
  2. Step 2: Convert to fraction form
    467.56/701.75 = 352.14/x
  3. Step 3: Cross multiply
    467.56x = 701.75 × 352.14
  4. Step 4: Simplify right side
    467.56x = 247,114.25
  5. Step 5: Solve for x
    x = 247,114.25/467.56
  6. Step 6: Final answer
    x = 528.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.