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Finding the Fourth Proportional to 458.74, 633.18 and 318.88

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Solution

The fourth proportional to 458.74, 633.18 and 318.88 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 633.18 = 318.88 : x
  2. Step 2: Convert to fraction form
    458.74/633.18 = 318.88/x
  3. Step 3: Cross multiply
    458.74x = 633.18 × 318.88
  4. Step 4: Simplify right side
    458.74x = 201,908.44
  5. Step 5: Solve for x
    x = 201,908.44/458.74
  6. Step 6: Final answer
    x = 440.14

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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.