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Finding the Fourth Proportional to 469.85, 648.41 and 260.04

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Solution

The fourth proportional to 469.85, 648.41 and 260.04 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.85 : 648.41 = 260.04 : x
  2. Step 2: Convert to fraction form
    469.85/648.41 = 260.04/x
  3. Step 3: Cross multiply
    469.85x = 648.41 × 260.04
  4. Step 4: Simplify right side
    469.85x = 168,609.29
  5. Step 5: Solve for x
    x = 168,609.29/469.85
  6. Step 6: Final answer
    x = 358.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.