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Finding the Fourth Proportional to 670.31, 1,004.10 and 395.57

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Solution

The fourth proportional to 670.31, 1,004.10 and 395.57 is: 592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.31 : 1,004.10 = 395.57 : x
  2. Step 2: Convert to fraction form
    670.31/1,004.10 = 395.57/x
  3. Step 3: Cross multiply
    670.31x = 1,004.10 × 395.57
  4. Step 4: Simplify right side
    670.31x = 397,191.84
  5. Step 5: Solve for x
    x = 397,191.84/670.31
  6. Step 6: Final answer
    x = 592.55

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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.