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Finding the Fourth Proportional to 637, 878.58 and 440.84

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Solution

The fourth proportional to 637, 878.58 and 440.84 is: 608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    637 : 878.58 = 440.84 : x
  2. Step 2: Convert to fraction form
    637/878.58 = 440.84/x
  3. Step 3: Cross multiply
    637x = 878.58 × 440.84
  4. Step 4: Simplify right side
    637x = 387,313.21
  5. Step 5: Solve for x
    x = 387,313.21/637
  6. Step 6: Final answer
    x = 608.03

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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.