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Finding the Fourth Proportional to 498.84, 688.23 and 288.96

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Solution

The fourth proportional to 498.84, 688.23 and 288.96 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 688.23 = 288.96 : x
  2. Step 2: Convert to fraction form
    498.84/688.23 = 288.96/x
  3. Step 3: Cross multiply
    498.84x = 688.23 × 288.96
  4. Step 4: Simplify right side
    498.84x = 198,870.94
  5. Step 5: Solve for x
    x = 198,870.94/498.84
  6. Step 6: Final answer
    x = 398.67

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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.