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Finding the Fourth Proportional to 586.27, 878.48 and 312.29

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Solution

The fourth proportional to 586.27, 878.48 and 312.29 is: 467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.27 : 878.48 = 312.29 : x
  2. Step 2: Convert to fraction form
    586.27/878.48 = 312.29/x
  3. Step 3: Cross multiply
    586.27x = 878.48 × 312.29
  4. Step 4: Simplify right side
    586.27x = 274,339.03
  5. Step 5: Solve for x
    x = 274,339.03/586.27
  6. Step 6: Final answer
    x = 467.94

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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.