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Finding the Fourth Proportional to 318.58, 478.42 and 302.63

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Solution

The fourth proportional to 318.58, 478.42 and 302.63 is: 454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.58 : 478.42 = 302.63 : x
  2. Step 2: Convert to fraction form
    318.58/478.42 = 302.63/x
  3. Step 3: Cross multiply
    318.58x = 478.42 × 302.63
  4. Step 4: Simplify right side
    318.58x = 144,781.10
  5. Step 5: Solve for x
    x = 144,781.10/318.58
  6. Step 6: Final answer
    x = 454.46

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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.