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Finding the Fourth Proportional to 498.84, 687.02 and 488.07

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Solution

The fourth proportional to 498.84, 687.02 and 488.07 is: 672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 687.02 = 488.07 : x
  2. Step 2: Convert to fraction form
    498.84/687.02 = 488.07/x
  3. Step 3: Cross multiply
    498.84x = 687.02 × 488.07
  4. Step 4: Simplify right side
    498.84x = 335,311.41
  5. Step 5: Solve for x
    x = 335,311.41/498.84
  6. Step 6: Final answer
    x = 672.18

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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.