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Finding the Fourth Proportional to 425.09, 586.23 and 277.79

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Solution

The fourth proportional to 425.09, 586.23 and 277.79 is: 383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.09 : 586.23 = 277.79 : x
  2. Step 2: Convert to fraction form
    425.09/586.23 = 277.79/x
  3. Step 3: Cross multiply
    425.09x = 586.23 × 277.79
  4. Step 4: Simplify right side
    425.09x = 162,845.90
  5. Step 5: Solve for x
    x = 162,845.90/425.09
  6. Step 6: Final answer
    x = 383.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.