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Finding the Fourth Proportional to 498.81, 688.40 and 277.82

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Solution

The fourth proportional to 498.81, 688.40 and 277.82 is: 383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.81 : 688.40 = 277.82 : x
  2. Step 2: Convert to fraction form
    498.81/688.40 = 277.82/x
  3. Step 3: Cross multiply
    498.81x = 688.40 × 277.82
  4. Step 4: Simplify right side
    498.81x = 191,246.46
  5. Step 5: Solve for x
    x = 191,246.46/498.81
  6. Step 6: Final answer
    x = 383.41

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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.