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Finding the Fourth Proportional to 317.05, 474.53 and 306.11

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Solution

The fourth proportional to 317.05, 474.53 and 306.11 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.05 : 474.53 = 306.11 : x
  2. Step 2: Convert to fraction form
    317.05/474.53 = 306.11/x
  3. Step 3: Cross multiply
    317.05x = 474.53 × 306.11
  4. Step 4: Simplify right side
    317.05x = 145,258.03
  5. Step 5: Solve for x
    x = 145,258.03/317.05
  6. Step 6: Final answer
    x = 458.16

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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.