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Finding the Fourth Proportional to 650.84, 898.38 and 417.97

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Solution

The fourth proportional to 650.84, 898.38 and 417.97 is: 576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 898.38 = 417.97 : x
  2. Step 2: Convert to fraction form
    650.84/898.38 = 417.97/x
  3. Step 3: Cross multiply
    650.84x = 898.38 × 417.97
  4. Step 4: Simplify right side
    650.84x = 375,495.89
  5. Step 5: Solve for x
    x = 375,495.89/650.84
  6. Step 6: Final answer
    x = 576.94

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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.