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Finding the Fourth Proportional to 576.90, 864.45 and 485.10

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Solution

The fourth proportional to 576.90, 864.45 and 485.10 is: 726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.90 : 864.45 = 485.10 : x
  2. Step 2: Convert to fraction form
    576.90/864.45 = 485.10/x
  3. Step 3: Cross multiply
    576.90x = 864.45 × 485.10
  4. Step 4: Simplify right side
    576.90x = 419,344.70
  5. Step 5: Solve for x
    x = 419,344.70/576.90
  6. Step 6: Final answer
    x = 726.89

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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.