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Finding the Fourth Proportional to 498.55, 688.00 and 277.56

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Solution

The fourth proportional to 498.55, 688.00 and 277.56 is: 383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.55 : 688.00 = 277.56 : x
  2. Step 2: Convert to fraction form
    498.55/688.00 = 277.56/x
  3. Step 3: Cross multiply
    498.55x = 688.00 × 277.56
  4. Step 4: Simplify right side
    498.55x = 190,958.53
  5. Step 5: Solve for x
    x = 190,958.53/498.55
  6. Step 6: Final answer
    x = 383.03

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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.