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Finding the Fourth Proportional to 467.60, 701.68 and 305.28

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Solution

The fourth proportional to 467.60, 701.68 and 305.28 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 701.68 = 305.28 : x
  2. Step 2: Convert to fraction form
    467.60/701.68 = 305.28/x
  3. Step 3: Cross multiply
    467.60x = 701.68 × 305.28
  4. Step 4: Simplify right side
    467.60x = 214,208.87
  5. Step 5: Solve for x
    x = 214,208.87/467.60
  6. Step 6: Final answer
    x = 458.10

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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.