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Finding the Fourth Proportional to 648.84, 896.23 and 498.56

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Solution

The fourth proportional to 648.84, 896.23 and 498.56 is: 688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 896.23 = 498.56 : x
  2. Step 2: Convert to fraction form
    648.84/896.23 = 498.56/x
  3. Step 3: Cross multiply
    648.84x = 896.23 × 498.56
  4. Step 4: Simplify right side
    648.84x = 446,820.57
  5. Step 5: Solve for x
    x = 446,820.57/648.84
  6. Step 6: Final answer
    x = 688.64

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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.