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Finding the Fourth Proportional to 354.64, 488.84 and 318.16

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Solution

The fourth proportional to 354.64, 488.84 and 318.16 is: 438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 488.84 = 318.16 : x
  2. Step 2: Convert to fraction form
    354.64/488.84 = 318.16/x
  3. Step 3: Cross multiply
    354.64x = 488.84 × 318.16
  4. Step 4: Simplify right side
    354.64x = 155,529.33
  5. Step 5: Solve for x
    x = 155,529.33/354.64
  6. Step 6: Final answer
    x = 438.56

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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.