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Finding the Fourth Proportional to 463.44, 697.68 and 403.92

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Solution

The fourth proportional to 463.44, 697.68 and 403.92 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.44 : 697.68 = 403.92 : x
  2. Step 2: Convert to fraction form
    463.44/697.68 = 403.92/x
  3. Step 3: Cross multiply
    463.44x = 697.68 × 403.92
  4. Step 4: Simplify right side
    463.44x = 281,806.91
  5. Step 5: Solve for x
    x = 281,806.91/463.44
  6. Step 6: Final answer
    x = 608.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.