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Finding the Fourth Proportional to 317.90, 475.62 and 237.10

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Solution

The fourth proportional to 317.90, 475.62 and 237.10 is: 354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 475.62 = 237.10 : x
  2. Step 2: Convert to fraction form
    317.90/475.62 = 237.10/x
  3. Step 3: Cross multiply
    317.90x = 475.62 × 237.10
  4. Step 4: Simplify right side
    317.90x = 112,769.50
  5. Step 5: Solve for x
    x = 112,769.50/317.90
  6. Step 6: Final answer
    x = 354.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.