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Finding the Fourth Proportional to 650.98, 898.31 and 402.32

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Solution

The fourth proportional to 650.98, 898.31 and 402.32 is: 555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 898.31 = 402.32 : x
  2. Step 2: Convert to fraction form
    650.98/898.31 = 402.32/x
  3. Step 3: Cross multiply
    650.98x = 898.31 × 402.32
  4. Step 4: Simplify right side
    650.98x = 361,408.08
  5. Step 5: Solve for x
    x = 361,408.08/650.98
  6. Step 6: Final answer
    x = 555.18

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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.