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Finding the Fourth Proportional to 586.46, 878.96 and 261.48

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Solution

The fourth proportional to 586.46, 878.96 and 261.48 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 878.96 = 261.48 : x
  2. Step 2: Convert to fraction form
    586.46/878.96 = 261.48/x
  3. Step 3: Cross multiply
    586.46x = 878.96 × 261.48
  4. Step 4: Simplify right side
    586.46x = 229,830.46
  5. Step 5: Solve for x
    x = 229,830.46/586.46
  6. Step 6: Final answer
    x = 391.89

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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.