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Finding the Fourth Proportional to 425, 586.50 and 277.88

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Solution

The fourth proportional to 425, 586.50 and 277.88 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425 : 586.50 = 277.88 : x
  2. Step 2: Convert to fraction form
    425/586.50 = 277.88/x
  3. Step 3: Cross multiply
    425x = 586.50 × 277.88
  4. Step 4: Simplify right side
    425x = 162,976.62
  5. Step 5: Solve for x
    x = 162,976.62/425
  6. Step 6: Final answer
    x = 383.47

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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.