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Finding the Fourth Proportional to 355.20, 488.64 and 336.96

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Solution

The fourth proportional to 355.20, 488.64 and 336.96 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 488.64 = 336.96 : x
  2. Step 2: Convert to fraction form
    355.20/488.64 = 336.96/x
  3. Step 3: Cross multiply
    355.20x = 488.64 × 336.96
  4. Step 4: Simplify right side
    355.20x = 164,652.13
  5. Step 5: Solve for x
    x = 164,652.13/355.20
  6. Step 6: Final answer
    x = 463.55

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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.