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Finding the Fourth Proportional to 670.15, 1,005.26 and 237.30

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Solution

The fourth proportional to 670.15, 1,005.26 and 237.30 is: 355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.15 : 1,005.26 = 237.30 : x
  2. Step 2: Convert to fraction form
    670.15/1,005.26 = 237.30/x
  3. Step 3: Cross multiply
    670.15x = 1,005.26 × 237.30
  4. Step 4: Simplify right side
    670.15x = 238,553.06
  5. Step 5: Solve for x
    x = 238,553.06/670.15
  6. Step 6: Final answer
    x = 355.97

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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.