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Finding the Fourth Proportional to 670.87, 1,006.35 and 232.15

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Solution

The fourth proportional to 670.87, 1,006.35 and 232.15 is: 348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.87 : 1,006.35 = 232.15 : x
  2. Step 2: Convert to fraction form
    670.87/1,006.35 = 232.15/x
  3. Step 3: Cross multiply
    670.87x = 1,006.35 × 232.15
  4. Step 4: Simplify right side
    670.87x = 233,624.15
  5. Step 5: Solve for x
    x = 233,624.15/670.87
  6. Step 6: Final answer
    x = 348.24

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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.