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Finding the Fourth Proportional to 404.64, 607.92 and 233.76

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Solution

The fourth proportional to 404.64, 607.92 and 233.76 is: 351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.64 : 607.92 = 233.76 : x
  2. Step 2: Convert to fraction form
    404.64/607.92 = 233.76/x
  3. Step 3: Cross multiply
    404.64x = 607.92 × 233.76
  4. Step 4: Simplify right side
    404.64x = 142,107.38
  5. Step 5: Solve for x
    x = 142,107.38/404.64
  6. Step 6: Final answer
    x = 351.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.