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Finding the Fourth Proportional to 586.50, 878.48 and 277.88

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Solution

The fourth proportional to 586.50, 878.48 and 277.88 is: 416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.50 : 878.48 = 277.88 : x
  2. Step 2: Convert to fraction form
    586.50/878.48 = 277.88/x
  3. Step 3: Cross multiply
    586.50x = 878.48 × 277.88
  4. Step 4: Simplify right side
    586.50x = 244,112.02
  5. Step 5: Solve for x
    x = 244,112.02/586.50
  6. Step 6: Final answer
    x = 416.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.