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Finding the Fourth Proportional to 317.89, 476.89 and 98.47

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Solution

The fourth proportional to 317.89, 476.89 and 98.47 is: 147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.89 : 476.89 = 98.47 : x
  2. Step 2: Convert to fraction form
    317.89/476.89 = 98.47/x
  3. Step 3: Cross multiply
    317.89x = 476.89 × 98.47
  4. Step 4: Simplify right side
    317.89x = 46,958.41
  5. Step 5: Solve for x
    x = 46,958.41/317.89
  6. Step 6: Final answer
    x = 147.72

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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.