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Finding the Fourth Proportional to 498.84, 688.68 and 333.29

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Solution

The fourth proportional to 498.84, 688.68 and 333.29 is: 460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 688.68 = 333.29 : x
  2. Step 2: Convert to fraction form
    498.84/688.68 = 333.29/x
  3. Step 3: Cross multiply
    498.84x = 688.68 × 333.29
  4. Step 4: Simplify right side
    498.84x = 229,528.49
  5. Step 5: Solve for x
    x = 229,528.49/498.84
  6. Step 6: Final answer
    x = 460.13

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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.