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Finding the Fourth Proportional to 317.74, 476.37 and 302.36

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Solution

The fourth proportional to 317.74, 476.37 and 302.36 is: 453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.74 : 476.37 = 302.36 : x
  2. Step 2: Convert to fraction form
    317.74/476.37 = 302.36/x
  3. Step 3: Cross multiply
    317.74x = 476.37 × 302.36
  4. Step 4: Simplify right side
    317.74x = 144,035.23
  5. Step 5: Solve for x
    x = 144,035.23/317.74
  6. Step 6: Final answer
    x = 453.31

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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.