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Finding the Fourth Proportional to 467.64, 701.35 and 236.28

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Solution

The fourth proportional to 467.64, 701.35 and 236.28 is: 354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 701.35 = 236.28 : x
  2. Step 2: Convert to fraction form
    467.64/701.35 = 236.28/x
  3. Step 3: Cross multiply
    467.64x = 701.35 × 236.28
  4. Step 4: Simplify right side
    467.64x = 165,710.29
  5. Step 5: Solve for x
    x = 165,710.29/467.64
  6. Step 6: Final answer
    x = 354.36

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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.