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Finding the Fourth Proportional to 586.02, 878.78 and 277.80

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Solution

The fourth proportional to 586.02, 878.78 and 277.80 is: 416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 878.78 = 277.80 : x
  2. Step 2: Convert to fraction form
    586.02/878.78 = 277.80/x
  3. Step 3: Cross multiply
    586.02x = 878.78 × 277.80
  4. Step 4: Simplify right side
    586.02x = 244,125.08
  5. Step 5: Solve for x
    x = 244,125.08/586.02
  6. Step 6: Final answer
    x = 416.58

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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.