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Finding the Fourth Proportional to 670.80, 1,005.12 and 346.26

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Solution

The fourth proportional to 670.80, 1,005.12 and 346.26 is: 518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.80 : 1,005.12 = 346.26 : x
  2. Step 2: Convert to fraction form
    670.80/1,005.12 = 346.26/x
  3. Step 3: Cross multiply
    670.80x = 1,005.12 × 346.26
  4. Step 4: Simplify right side
    670.80x = 348,032.85
  5. Step 5: Solve for x
    x = 348,032.85/670.80
  6. Step 6: Final answer
    x = 518.83

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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.