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Finding the Fourth Proportional to 317.58, 476.46 and 202.20

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Solution

The fourth proportional to 317.58, 476.46 and 202.20 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.58 : 476.46 = 202.20 : x
  2. Step 2: Convert to fraction form
    317.58/476.46 = 202.20/x
  3. Step 3: Cross multiply
    317.58x = 476.46 × 202.20
  4. Step 4: Simplify right side
    317.58x = 96,340.21
  5. Step 5: Solve for x
    x = 96,340.21/317.58
  6. Step 6: Final answer
    x = 303.36

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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.