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Finding the Fourth Proportional to 637.23, 878.88 and 427.34

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Solution

The fourth proportional to 637.23, 878.88 and 427.34 is: 589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.23 : 878.88 = 427.34 : x
  2. Step 2: Convert to fraction form
    637.23/878.88 = 427.34/x
  3. Step 3: Cross multiply
    637.23x = 878.88 × 427.34
  4. Step 4: Simplify right side
    637.23x = 375,582.78
  5. Step 5: Solve for x
    x = 375,582.78/637.23
  6. Step 6: Final answer
    x = 589.40

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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.