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Finding the Fourth Proportional to 576.48, 864.84 and 316.41

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Solution

The fourth proportional to 576.48, 864.84 and 316.41 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 864.84 = 316.41 : x
  2. Step 2: Convert to fraction form
    576.48/864.84 = 316.41/x
  3. Step 3: Cross multiply
    576.48x = 864.84 × 316.41
  4. Step 4: Simplify right side
    576.48x = 273,644.02
  5. Step 5: Solve for x
    x = 273,644.02/576.48
  6. Step 6: Final answer
    x = 474.68

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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.