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Finding the Fourth Proportional to 485.51, 726.44 and 290.61

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Solution

The fourth proportional to 485.51, 726.44 and 290.61 is: 434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.51 : 726.44 = 290.61 : x
  2. Step 2: Convert to fraction form
    485.51/726.44 = 290.61/x
  3. Step 3: Cross multiply
    485.51x = 726.44 × 290.61
  4. Step 4: Simplify right side
    485.51x = 211,111.45
  5. Step 5: Solve for x
    x = 211,111.45/485.51
  6. Step 6: Final answer
    x = 434.83

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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.